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Finding the Fourth Proportional to 120,128.74, 165,778.17 and 66,413.38

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Solution

The fourth proportional to 120,128.74, 165,778.17 and 66,413.38 is: 91,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,128.74 : 165,778.17 = 66,413.38 : x
  2. Step 2: Convert to fraction form
    120,128.74/165,778.17 = 66,413.38/x
  3. Step 3: Cross multiply
    120,128.74x = 165,778.17 × 66,413.38
  4. Step 4: Simplify right side
    120,128.74x = 11,009,888,599.91
  5. Step 5: Solve for x
    x = 11,009,888,599.91/120,128.74
  6. Step 6: Final answer
    x = 91,650.75

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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.