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Finding the Fourth Proportional to 224,515.56, 309,829.95 and 123,913.56

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Solution

The fourth proportional to 224,515.56, 309,829.95 and 123,913.56 is: 170,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,515.56 : 309,829.95 = 123,913.56 : x
  2. Step 2: Convert to fraction form
    224,515.56/309,829.95 = 123,913.56/x
  3. Step 3: Cross multiply
    224,515.56x = 309,829.95 × 123,913.56
  4. Step 4: Simplify right side
    224,515.56x = 38,392,132,099.12
  5. Step 5: Solve for x
    x = 38,392,132,099.12/224,515.56
  6. Step 6: Final answer
    x = 170,999.87

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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.