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Finding the Fourth Proportional to 220,726.60, 330,830.70 and 102,147.46

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Solution

The fourth proportional to 220,726.60, 330,830.70 and 102,147.46 is: 153,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,726.60 : 330,830.70 = 102,147.46 : x
  2. Step 2: Convert to fraction form
    220,726.60/330,830.70 = 102,147.46/x
  3. Step 3: Cross multiply
    220,726.60x = 330,830.70 × 102,147.46
  4. Step 4: Simplify right side
    220,726.60x = 33,793,515,695.02
  5. Step 5: Solve for x
    x = 33,793,515,695.02/220,726.60
  6. Step 6: Final answer
    x = 153,101.24

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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.