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Finding the Fourth Proportional to 242,724.70, 363,977.70 and 92,915.20

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Solution

The fourth proportional to 242,724.70, 363,977.70 and 92,915.20 is: 139,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,724.70 : 363,977.70 = 92,915.20 : x
  2. Step 2: Convert to fraction form
    242,724.70/363,977.70 = 92,915.20/x
  3. Step 3: Cross multiply
    242,724.70x = 363,977.70 × 92,915.20
  4. Step 4: Simplify right side
    242,724.70x = 33,819,060,791.04
  5. Step 5: Solve for x
    x = 33,819,060,791.04/242,724.70
  6. Step 6: Final answer
    x = 139,330.94

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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.