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Finding the Fourth Proportional to 224,538.16, 309,755.24 and 151,966.48

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Solution

The fourth proportional to 224,538.16, 309,755.24 and 151,966.48 is: 209,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.16 : 309,755.24 = 151,966.48 : x
  2. Step 2: Convert to fraction form
    224,538.16/309,755.24 = 151,966.48/x
  3. Step 3: Cross multiply
    224,538.16x = 309,755.24 × 151,966.48
  4. Step 4: Simplify right side
    224,538.16x = 47,072,413,484.36
  5. Step 5: Solve for x
    x = 47,072,413,484.36/224,538.16
  6. Step 6: Final answer
    x = 209,641.04

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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.