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Finding the Fourth Proportional to 120,126.68, 165,773.70 and 66,413.04

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Solution

The fourth proportional to 120,126.68, 165,773.70 and 66,413.04 is: 91,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,126.68 : 165,773.70 = 66,413.04 : x
  2. Step 2: Convert to fraction form
    120,126.68/165,773.70 = 66,413.04/x
  3. Step 3: Cross multiply
    120,126.68x = 165,773.70 × 66,413.04
  4. Step 4: Simplify right side
    120,126.68x = 11,009,535,369.05
  5. Step 5: Solve for x
    x = 11,009,535,369.05/120,126.68
  6. Step 6: Final answer
    x = 91,649.38

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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.