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Finding the Fourth Proportional to 224,105.53, 309,265.64 and 123,503.53

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Solution

The fourth proportional to 224,105.53, 309,265.64 and 123,503.53 is: 170,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,105.53 : 309,265.64 = 123,503.53 : x
  2. Step 2: Convert to fraction form
    224,105.53/309,265.64 = 123,503.53/x
  3. Step 3: Cross multiply
    224,105.53x = 309,265.64 × 123,503.53
  4. Step 4: Simplify right side
    224,105.53x = 38,195,398,247.71
  5. Step 5: Solve for x
    x = 38,195,398,247.71/224,105.53
  6. Step 6: Final answer
    x = 170,434.88

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1.5x scale

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.