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Finding the Fourth Proportional to 188,531.64, 282,807.92 and 62,166.78

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Solution

The fourth proportional to 188,531.64, 282,807.92 and 62,166.78 is: 93,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,531.64 : 282,807.92 = 62,166.78 : x
  2. Step 2: Convert to fraction form
    188,531.64/282,807.92 = 62,166.78/x
  3. Step 3: Cross multiply
    188,531.64x = 282,807.92 × 62,166.78
  4. Step 4: Simplify right side
    188,531.64x = 17,581,257,900.31
  5. Step 5: Solve for x
    x = 17,581,257,900.31/188,531.64
  6. Step 6: Final answer
    x = 93,253.62

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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.