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Finding the Fourth Proportional to 224,442.76, 309,737.50 and 123,847.24

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Solution

The fourth proportional to 224,442.76, 309,737.50 and 123,847.24 is: 170,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,442.76 : 309,737.50 = 123,847.24 : x
  2. Step 2: Convert to fraction form
    224,442.76/309,737.50 = 123,847.24/x
  3. Step 3: Cross multiply
    224,442.76x = 309,737.50 × 123,847.24
  4. Step 4: Simplify right side
    224,442.76x = 38,360,134,499.50
  5. Step 5: Solve for x
    x = 38,360,134,499.50/224,442.76
  6. Step 6: Final answer
    x = 170,912.77

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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.