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Finding the Fourth Proportional to 109,734.60, 164,601.90 and 65,411.40

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Solution

The fourth proportional to 109,734.60, 164,601.90 and 65,411.40 is: 98,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734.60 : 164,601.90 = 65,411.40 : x
  2. Step 2: Convert to fraction form
    109,734.60/164,601.90 = 65,411.40/x
  3. Step 3: Cross multiply
    109,734.60x = 164,601.90 × 65,411.40
  4. Step 4: Simplify right side
    109,734.60x = 10,766,840,721.66
  5. Step 5: Solve for x
    x = 10,766,840,721.66/109,734.60
  6. Step 6: Final answer
    x = 98,117.10

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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.