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Finding the Fourth Proportional to 110,773.81, 166,159.41 and 75,146.86

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Solution

The fourth proportional to 110,773.81, 166,159.41 and 75,146.86 is: 112,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,773.81 : 166,159.41 = 75,146.86 : x
  2. Step 2: Convert to fraction form
    110,773.81/166,159.41 = 75,146.86/x
  3. Step 3: Cross multiply
    110,773.81x = 166,159.41 × 75,146.86
  4. Step 4: Simplify right side
    110,773.81x = 12,486,357,920.95
  5. Step 5: Solve for x
    x = 12,486,357,920.95/110,773.81
  6. Step 6: Final answer
    x = 112,719.40

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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.