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Finding the Fourth Proportional to 178,374.13, 267,372.66 and 65,982.17

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Solution

The fourth proportional to 178,374.13, 267,372.66 and 65,982.17 is: 98,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,374.13 : 267,372.66 = 65,982.17 : x
  2. Step 2: Convert to fraction form
    178,374.13/267,372.66 = 65,982.17/x
  3. Step 3: Cross multiply
    178,374.13x = 267,372.66 × 65,982.17
  4. Step 4: Simplify right side
    178,374.13x = 17,641,828,305.47
  5. Step 5: Solve for x
    x = 17,641,828,305.47/178,374.13
  6. Step 6: Final answer
    x = 98,903.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.