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Finding the Fourth Proportional to 100,686.90, 151,358.40 and 71,308.20

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Solution

The fourth proportional to 100,686.90, 151,358.40 and 71,308.20 is: 107,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.90 : 151,358.40 = 71,308.20 : x
  2. Step 2: Convert to fraction form
    100,686.90/151,358.40 = 71,308.20/x
  3. Step 3: Cross multiply
    100,686.90x = 151,358.40 × 71,308.20
  4. Step 4: Simplify right side
    100,686.90x = 10,793,095,058.88
  5. Step 5: Solve for x
    x = 10,793,095,058.88/100,686.90
  6. Step 6: Final answer
    x = 107,194.63

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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.