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Finding the Fourth Proportional to 87,114.30, 130,768.65 and 81,403.80

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Solution

The fourth proportional to 87,114.30, 130,768.65 and 81,403.80 is: 122,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,114.30 : 130,768.65 = 81,403.80 : x
  2. Step 2: Convert to fraction form
    87,114.30/130,768.65 = 81,403.80/x
  3. Step 3: Cross multiply
    87,114.30x = 130,768.65 × 81,403.80
  4. Step 4: Simplify right side
    87,114.30x = 10,645,065,030.87
  5. Step 5: Solve for x
    x = 10,645,065,030.87/87,114.30
  6. Step 6: Final answer
    x = 122,196.53

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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.