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Finding the Fourth Proportional to 224,102.50, 309,280.89 and 123,519.94

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Solution

The fourth proportional to 224,102.50, 309,280.89 and 123,519.94 is: 170,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,102.50 : 309,280.89 = 123,519.94 : x
  2. Step 2: Convert to fraction form
    224,102.50/309,280.89 = 123,519.94/x
  3. Step 3: Cross multiply
    224,102.50x = 309,280.89 × 123,519.94
  4. Step 4: Simplify right side
    224,102.50x = 38,202,356,975.95
  5. Step 5: Solve for x
    x = 38,202,356,975.95/224,102.50
  6. Step 6: Final answer
    x = 170,468.23

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