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Finding the Fourth Proportional to 78,177.80, 117,266.70 and 22,017.80

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Solution

The fourth proportional to 78,177.80, 117,266.70 and 22,017.80 is: 33,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.80 : 117,266.70 = 22,017.80 : x
  2. Step 2: Convert to fraction form
    78,177.80/117,266.70 = 22,017.80/x
  3. Step 3: Cross multiply
    78,177.80x = 117,266.70 × 22,017.80
  4. Step 4: Simplify right side
    78,177.80x = 2,581,954,747.26
  5. Step 5: Solve for x
    x = 2,581,954,747.26/78,177.80
  6. Step 6: Final answer
    x = 33,026.70

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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.