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Finding the Fourth Proportional to 198,507.48, 297,802.32 and 65,395.92

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Solution

The fourth proportional to 198,507.48, 297,802.32 and 65,395.92 is: 98,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,507.48 : 297,802.32 = 65,395.92 : x
  2. Step 2: Convert to fraction form
    198,507.48/297,802.32 = 65,395.92/x
  3. Step 3: Cross multiply
    198,507.48x = 297,802.32 × 65,395.92
  4. Step 4: Simplify right side
    198,507.48x = 19,475,056,694.53
  5. Step 5: Solve for x
    x = 19,475,056,694.53/198,507.48
  6. Step 6: Final answer
    x = 98,107.42

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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.