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Finding the Fourth Proportional to 220,164.86, 330,023.13 and 86,862.14

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Solution

The fourth proportional to 220,164.86, 330,023.13 and 86,862.14 is: 130,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,164.86 : 330,023.13 = 86,862.14 : x
  2. Step 2: Convert to fraction form
    220,164.86/330,023.13 = 86,862.14/x
  3. Step 3: Cross multiply
    220,164.86x = 330,023.13 × 86,862.14
  4. Step 4: Simplify right side
    220,164.86x = 28,666,515,321.30
  5. Step 5: Solve for x
    x = 28,666,515,321.30/220,164.86
  6. Step 6: Final answer
    x = 130,204.77

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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.