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Finding the Fourth Proportional to 232,493.74, 320,758.74 and 151,967.68

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Solution

The fourth proportional to 232,493.74, 320,758.74 and 151,967.68 is: 209,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,493.74 : 320,758.74 = 151,967.68 : x
  2. Step 2: Convert to fraction form
    232,493.74/320,758.74 = 151,967.68/x
  3. Step 3: Cross multiply
    232,493.74x = 320,758.74 × 151,967.68
  4. Step 4: Simplify right side
    232,493.74x = 48,744,961,557.52
  5. Step 5: Solve for x
    x = 48,744,961,557.52/232,493.74
  6. Step 6: Final answer
    x = 209,661.39

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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.