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Finding the Fourth Proportional to 102,498.54, 153,806.13 and 67,454.70

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Solution

The fourth proportional to 102,498.54, 153,806.13 and 67,454.70 is: 101,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,498.54 : 153,806.13 = 67,454.70 : x
  2. Step 2: Convert to fraction form
    102,498.54/153,806.13 = 67,454.70/x
  3. Step 3: Cross multiply
    102,498.54x = 153,806.13 × 67,454.70
  4. Step 4: Simplify right side
    102,498.54x = 10,374,946,357.31
  5. Step 5: Solve for x
    x = 10,374,946,357.31/102,498.54
  6. Step 6: Final answer
    x = 101,220.43

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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.