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Finding the Fourth Proportional to 109,009.20, 163,513.80 and 75,658.80

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Solution

The fourth proportional to 109,009.20, 163,513.80 and 75,658.80 is: 113,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,009.20 : 163,513.80 = 75,658.80 : x
  2. Step 2: Convert to fraction form
    109,009.20/163,513.80 = 75,658.80/x
  3. Step 3: Cross multiply
    109,009.20x = 163,513.80 × 75,658.80
  4. Step 4: Simplify right side
    109,009.20x = 12,371,257,891.44
  5. Step 5: Solve for x
    x = 12,371,257,891.44/109,009.20
  6. Step 6: Final answer
    x = 113,488.20

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1.5x scale

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.