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Finding the Fourth Proportional to 100,677.30, 151,064.55 and 71,031.30

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Solution

The fourth proportional to 100,677.30, 151,064.55 and 71,031.30 is: 106,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,677.30 : 151,064.55 = 71,031.30 : x
  2. Step 2: Convert to fraction form
    100,677.30/151,064.55 = 71,031.30/x
  3. Step 3: Cross multiply
    100,677.30x = 151,064.55 × 71,031.30
  4. Step 4: Simplify right side
    100,677.30x = 10,730,311,370.42
  5. Step 5: Solve for x
    x = 10,730,311,370.42/100,677.30
  6. Step 6: Final answer
    x = 106,581.24

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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.