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Finding the Fourth Proportional to 316,105.68, 474,343.12 and 126,656.82

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Solution

The fourth proportional to 316,105.68, 474,343.12 and 126,656.82 is: 190,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,105.68 : 474,343.12 = 126,656.82 : x
  2. Step 2: Convert to fraction form
    316,105.68/474,343.12 = 126,656.82/x
  3. Step 3: Cross multiply
    316,105.68x = 474,343.12 × 126,656.82
  4. Step 4: Simplify right side
    316,105.68x = 60,078,791,168.08
  5. Step 5: Solve for x
    x = 60,078,791,168.08/316,105.68
  6. Step 6: Final answer
    x = 190,059.20

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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.