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Finding the Fourth Proportional to 178,098.83, 245,776.38 and 97,531.28

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Solution

The fourth proportional to 178,098.83, 245,776.38 and 97,531.28 is: 134,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,098.83 : 245,776.38 = 97,531.28 : x
  2. Step 2: Convert to fraction form
    178,098.83/245,776.38 = 97,531.28/x
  3. Step 3: Cross multiply
    178,098.83x = 245,776.38 × 97,531.28
  4. Step 4: Simplify right side
    178,098.83x = 23,970,884,935.17
  5. Step 5: Solve for x
    x = 23,970,884,935.17/178,098.83
  6. Step 6: Final answer
    x = 134,593.16

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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.