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Finding the Fourth Proportional to 475,056.36, 712,631.52 and 138,100.14

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Solution

The fourth proportional to 475,056.36, 712,631.52 and 138,100.14 is: 207,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,056.36 : 712,631.52 = 138,100.14 : x
  2. Step 2: Convert to fraction form
    475,056.36/712,631.52 = 138,100.14/x
  3. Step 3: Cross multiply
    475,056.36x = 712,631.52 × 138,100.14
  4. Step 4: Simplify right side
    475,056.36x = 98,414,512,680.41
  5. Step 5: Solve for x
    x = 98,414,512,680.41/475,056.36
  6. Step 6: Final answer
    x = 207,163.87

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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.