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Finding the Fourth Proportional to 232,291.86, 320,583.90 and 141,652.86

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Solution

The fourth proportional to 232,291.86, 320,583.90 and 141,652.86 is: 195,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,291.86 : 320,583.90 = 141,652.86 : x
  2. Step 2: Convert to fraction form
    232,291.86/320,583.90 = 141,652.86/x
  3. Step 3: Cross multiply
    232,291.86x = 320,583.90 × 141,652.86
  4. Step 4: Simplify right side
    232,291.86x = 45,411,626,304.95
  5. Step 5: Solve for x
    x = 45,411,626,304.95/232,291.86
  6. Step 6: Final answer
    x = 195,493.83

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.