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Finding the Fourth Proportional to 232,197, 320,466.87 and 141,605.51

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Solution

The fourth proportional to 232,197, 320,466.87 and 141,605.51 is: 195,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,197 : 320,466.87 = 141,605.51 : x
  2. Step 2: Convert to fraction form
    232,197/320,466.87 = 141,605.51/x
  3. Step 3: Cross multiply
    232,197x = 320,466.87 × 141,605.51
  4. Step 4: Simplify right side
    232,197x = 45,379,872,962.12
  5. Step 5: Solve for x
    x = 45,379,872,962.12/232,197
  6. Step 6: Final answer
    x = 195,436.95

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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.