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Finding the Fourth Proportional to 78,716.80, 117,998.40 and 70,422.40

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Solution

The fourth proportional to 78,716.80, 117,998.40 and 70,422.40 is: 105,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,716.80 : 117,998.40 = 70,422.40 : x
  2. Step 2: Convert to fraction form
    78,716.80/117,998.40 = 70,422.40/x
  3. Step 3: Cross multiply
    78,716.80x = 117,998.40 × 70,422.40
  4. Step 4: Simplify right side
    78,716.80x = 8,309,730,524.16
  5. Step 5: Solve for x
    x = 8,309,730,524.16/78,716.80
  6. Step 6: Final answer
    x = 105,564.89

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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.