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Finding the Fourth Proportional to 178,397.49, 246,150 and 102,902.25

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Solution

The fourth proportional to 178,397.49, 246,150 and 102,902.25 is: 141,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,397.49 : 246,150 = 102,902.25 : x
  2. Step 2: Convert to fraction form
    178,397.49/246,150 = 102,902.25/x
  3. Step 3: Cross multiply
    178,397.49x = 246,150 × 102,902.25
  4. Step 4: Simplify right side
    178,397.49x = 25,329,388,837.50
  5. Step 5: Solve for x
    x = 25,329,388,837.50/178,397.49
  6. Step 6: Final answer
    x = 141,982.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.