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Finding the Fourth Proportional to 81,543.20, 109,733.40 and 81,543.20

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Solution

The fourth proportional to 81,543.20, 109,733.40 and 81,543.20 is: 109,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,543.20 : 109,733.40 = 81,543.20 : x
  2. Step 2: Convert to fraction form
    81,543.20/109,733.40 = 81,543.20/x
  3. Step 3: Cross multiply
    81,543.20x = 109,733.40 × 81,543.20
  4. Step 4: Simplify right side
    81,543.20x = 8,948,012,582.88
  5. Step 5: Solve for x
    x = 8,948,012,582.88/81,543.20
  6. Step 6: Final answer
    x = 109,733.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.