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Finding the Fourth Proportional to 81,904.80, 122,711.40 and 67,033.20

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Solution

The fourth proportional to 81,904.80, 122,711.40 and 67,033.20 is: 100,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904.80 : 122,711.40 = 67,033.20 : x
  2. Step 2: Convert to fraction form
    81,904.80/122,711.40 = 67,033.20/x
  3. Step 3: Cross multiply
    81,904.80x = 122,711.40 × 67,033.20
  4. Step 4: Simplify right side
    81,904.80x = 8,225,737,818.48
  5. Step 5: Solve for x
    x = 8,225,737,818.48/81,904.80
  6. Step 6: Final answer
    x = 100,430.47

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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.