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Finding the Fourth Proportional to 99,654.47, 137,529.29 and 57,219.38

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Solution

The fourth proportional to 99,654.47, 137,529.29 and 57,219.38 is: 78,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,654.47 : 137,529.29 = 57,219.38 : x
  2. Step 2: Convert to fraction form
    99,654.47/137,529.29 = 57,219.38/x
  3. Step 3: Cross multiply
    99,654.47x = 137,529.29 × 57,219.38
  4. Step 4: Simplify right side
    99,654.47x = 7,869,340,705.64
  5. Step 5: Solve for x
    x = 7,869,340,705.64/99,654.47
  6. Step 6: Final answer
    x = 78,966.26

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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.