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Finding the Fourth Proportional to 82,098.46, 123,147.54 and 63,405.69

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Solution

The fourth proportional to 82,098.46, 123,147.54 and 63,405.69 is: 95,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098.46 : 123,147.54 = 63,405.69 : x
  2. Step 2: Convert to fraction form
    82,098.46/123,147.54 = 63,405.69/x
  3. Step 3: Cross multiply
    82,098.46x = 123,147.54 × 63,405.69
  4. Step 4: Simplify right side
    82,098.46x = 7,808,254,283.70
  5. Step 5: Solve for x
    x = 7,808,254,283.70/82,098.46
  6. Step 6: Final answer
    x = 95,108.41

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