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Finding the Fourth Proportional to 99,098.92, 148,721.28 and 65,807.92

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Solution

The fourth proportional to 99,098.92, 148,721.28 and 65,807.92 is: 98,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,098.92 : 148,721.28 = 65,807.92 : x
  2. Step 2: Convert to fraction form
    99,098.92/148,721.28 = 65,807.92/x
  3. Step 3: Cross multiply
    99,098.92x = 148,721.28 × 65,807.92
  4. Step 4: Simplify right side
    99,098.92x = 9,787,038,096.54
  5. Step 5: Solve for x
    x = 9,787,038,096.54/99,098.92
  6. Step 6: Final answer
    x = 98,760.29

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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.