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Finding the Fourth Proportional to 234,602.56, 323,755.68 and 127,176.16

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Solution

The fourth proportional to 234,602.56, 323,755.68 and 127,176.16 is: 175,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,602.56 : 323,755.68 = 127,176.16 : x
  2. Step 2: Convert to fraction form
    234,602.56/323,755.68 = 127,176.16/x
  3. Step 3: Cross multiply
    234,602.56x = 323,755.68 × 127,176.16
  4. Step 4: Simplify right side
    234,602.56x = 41,174,004,160.59
  5. Step 5: Solve for x
    x = 41,174,004,160.59/234,602.56
  6. Step 6: Final answer
    x = 175,505.35

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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.