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Finding the Fourth Proportional to 224,624.52, 309,988.22 and 122,656.46

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Solution

The fourth proportional to 224,624.52, 309,988.22 and 122,656.46 is: 169,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,624.52 : 309,988.22 = 122,656.46 : x
  2. Step 2: Convert to fraction form
    224,624.52/309,988.22 = 122,656.46/x
  3. Step 3: Cross multiply
    224,624.52x = 309,988.22 × 122,656.46
  4. Step 4: Simplify right side
    224,624.52x = 38,022,057,706.90
  5. Step 5: Solve for x
    x = 38,022,057,706.90/224,624.52
  6. Step 6: Final answer
    x = 169,269.40

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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.