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Finding the Fourth Proportional to 120,158.68, 165,831.08 and 66,447.76

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Solution

The fourth proportional to 120,158.68, 165,831.08 and 66,447.76 is: 91,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,158.68 : 165,831.08 = 66,447.76 : x
  2. Step 2: Convert to fraction form
    120,158.68/165,831.08 = 66,447.76/x
  3. Step 3: Cross multiply
    120,158.68x = 165,831.08 × 66,447.76
  4. Step 4: Simplify right side
    120,158.68x = 11,019,103,804.38
  5. Step 5: Solve for x
    x = 11,019,103,804.38/120,158.68
  6. Step 6: Final answer
    x = 91,704.60

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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.