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Finding the Fourth Proportional to 110,531.60, 165,830.16 and 51,402.40

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Solution

The fourth proportional to 110,531.60, 165,830.16 and 51,402.40 is: 77,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,531.60 : 165,830.16 = 51,402.40 : x
  2. Step 2: Convert to fraction form
    110,531.60/165,830.16 = 51,402.40/x
  3. Step 3: Cross multiply
    110,531.60x = 165,830.16 × 51,402.40
  4. Step 4: Simplify right side
    110,531.60x = 8,524,068,216.38
  5. Step 5: Solve for x
    x = 8,524,068,216.38/110,531.60
  6. Step 6: Final answer
    x = 77,118.83

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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.