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Finding the Fourth Proportional to 224,433.56, 309,724.80 and 123,838.04

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Solution

The fourth proportional to 224,433.56, 309,724.80 and 123,838.04 is: 170,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,433.56 : 309,724.80 = 123,838.04 : x
  2. Step 2: Convert to fraction form
    224,433.56/309,724.80 = 123,838.04/x
  3. Step 3: Cross multiply
    224,433.56x = 309,724.80 × 123,838.04
  4. Step 4: Simplify right side
    224,433.56x = 38,355,712,481.31
  5. Step 5: Solve for x
    x = 38,355,712,481.31/224,433.56
  6. Step 6: Final answer
    x = 170,900.07

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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.