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Finding the Fourth Proportional to 109,854.10, 164,781.15 and 65,530.90

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Solution

The fourth proportional to 109,854.10, 164,781.15 and 65,530.90 is: 98,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,854.10 : 164,781.15 = 65,530.90 : x
  2. Step 2: Convert to fraction form
    109,854.10/164,781.15 = 65,530.90/x
  3. Step 3: Cross multiply
    109,854.10x = 164,781.15 × 65,530.90
  4. Step 4: Simplify right side
    109,854.10x = 10,798,257,062.54
  5. Step 5: Solve for x
    x = 10,798,257,062.54/109,854.10
  6. Step 6: Final answer
    x = 98,296.35

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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.