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Finding the Fourth Proportional to 83,193.68, 114,805.59 and 45,468.20

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Solution

The fourth proportional to 83,193.68, 114,805.59 and 45,468.20 is: 62,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.68 : 114,805.59 = 45,468.20 : x
  2. Step 2: Convert to fraction form
    83,193.68/114,805.59 = 45,468.20/x
  3. Step 3: Cross multiply
    83,193.68x = 114,805.59 × 45,468.20
  4. Step 4: Simplify right side
    83,193.68x = 5,220,003,527.24
  5. Step 5: Solve for x
    x = 5,220,003,527.24/83,193.68
  6. Step 6: Final answer
    x = 62,745.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.