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Finding the Fourth Proportional to 120,200.88, 165,726.42 and 77,104.38

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Solution

The fourth proportional to 120,200.88, 165,726.42 and 77,104.38 is: 106,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,200.88 : 165,726.42 = 77,104.38 : x
  2. Step 2: Convert to fraction form
    120,200.88/165,726.42 = 77,104.38/x
  3. Step 3: Cross multiply
    120,200.88x = 165,726.42 × 77,104.38
  4. Step 4: Simplify right side
    120,200.88x = 12,778,232,863.72
  5. Step 5: Solve for x
    x = 12,778,232,863.72/120,200.88
  6. Step 6: Final answer
    x = 106,307.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.