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Finding the Fourth Proportional to 109,419.80, 164,129.70 and 65,023.70

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Solution

The fourth proportional to 109,419.80, 164,129.70 and 65,023.70 is: 97,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419.80 : 164,129.70 = 65,023.70 : x
  2. Step 2: Convert to fraction form
    109,419.80/164,129.70 = 65,023.70/x
  3. Step 3: Cross multiply
    109,419.80x = 164,129.70 × 65,023.70
  4. Step 4: Simplify right side
    109,419.80x = 10,672,320,373.89
  5. Step 5: Solve for x
    x = 10,672,320,373.89/109,419.80
  6. Step 6: Final answer
    x = 97,535.55

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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.