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Finding the Fourth Proportional to 97,681.68, 146,414.88 and 63,907.11

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Solution

The fourth proportional to 97,681.68, 146,414.88 and 63,907.11 is: 95,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681.68 : 146,414.88 = 63,907.11 : x
  2. Step 2: Convert to fraction form
    97,681.68/146,414.88 = 63,907.11/x
  3. Step 3: Cross multiply
    97,681.68x = 146,414.88 × 63,907.11
  4. Step 4: Simplify right side
    97,681.68x = 9,356,951,841.80
  5. Step 5: Solve for x
    x = 9,356,951,841.80/97,681.68
  6. Step 6: Final answer
    x = 95,790.24

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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.