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Finding the Fourth Proportional to 78,689.20, 118,033.80 and 75,627.40

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Solution

The fourth proportional to 78,689.20, 118,033.80 and 75,627.40 is: 113,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,689.20 : 118,033.80 = 75,627.40 : x
  2. Step 2: Convert to fraction form
    78,689.20/118,033.80 = 75,627.40/x
  3. Step 3: Cross multiply
    78,689.20x = 118,033.80 × 75,627.40
  4. Step 4: Simplify right side
    78,689.20x = 8,926,589,406.12
  5. Step 5: Solve for x
    x = 8,926,589,406.12/78,689.20
  6. Step 6: Final answer
    x = 113,441.10

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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.