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Finding the Fourth Proportional to 78,839.70, 118,259.55 and 72,878.10

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Solution

The fourth proportional to 78,839.70, 118,259.55 and 72,878.10 is: 109,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,839.70 : 118,259.55 = 72,878.10 : x
  2. Step 2: Convert to fraction form
    78,839.70/118,259.55 = 72,878.10/x
  3. Step 3: Cross multiply
    78,839.70x = 118,259.55 × 72,878.10
  4. Step 4: Simplify right side
    78,839.70x = 8,618,531,310.86
  5. Step 5: Solve for x
    x = 8,618,531,310.86/78,839.70
  6. Step 6: Final answer
    x = 109,317.15

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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.