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Finding the Fourth Proportional to 224,203.28, 309,402.64 and 123,604.88

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Solution

The fourth proportional to 224,203.28, 309,402.64 and 123,604.88 is: 170,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,203.28 : 309,402.64 = 123,604.88 : x
  2. Step 2: Convert to fraction form
    224,203.28/309,402.64 = 123,604.88/x
  3. Step 3: Cross multiply
    224,203.28x = 309,402.64 × 123,604.88
  4. Step 4: Simplify right side
    224,203.28x = 38,243,676,188.88
  5. Step 5: Solve for x
    x = 38,243,676,188.88/224,203.28
  6. Step 6: Final answer
    x = 170,575.90

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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.