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Finding the Fourth Proportional to 198,298.01, 273,654.09 and 107,654.15

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Solution

The fourth proportional to 198,298.01, 273,654.09 and 107,654.15 is: 148,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,298.01 : 273,654.09 = 107,654.15 : x
  2. Step 2: Convert to fraction form
    198,298.01/273,654.09 = 107,654.15/x
  3. Step 3: Cross multiply
    198,298.01x = 273,654.09 × 107,654.15
  4. Step 4: Simplify right side
    198,298.01x = 29,459,997,084.70
  5. Step 5: Solve for x
    x = 29,459,997,084.70/198,298.01
  6. Step 6: Final answer
    x = 148,564.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.