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Finding the Fourth Proportional to 224,307.28, 335,773.92 and 145,264.24

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Solution

The fourth proportional to 224,307.28, 335,773.92 and 145,264.24 is: 217,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,307.28 : 335,773.92 = 145,264.24 : x
  2. Step 2: Convert to fraction form
    224,307.28/335,773.92 = 145,264.24/x
  3. Step 3: Cross multiply
    224,307.28x = 335,773.92 × 145,264.24
  4. Step 4: Simplify right side
    224,307.28x = 48,775,943,300.62
  5. Step 5: Solve for x
    x = 48,775,943,300.62/224,307.28
  6. Step 6: Final answer
    x = 217,451.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.