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Finding the Fourth Proportional to 83,403.68, 114,963.30 and 65,468.45

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Solution

The fourth proportional to 83,403.68, 114,963.30 and 65,468.45 is: 90,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,403.68 : 114,963.30 = 65,468.45 : x
  2. Step 2: Convert to fraction form
    83,403.68/114,963.30 = 65,468.45/x
  3. Step 3: Cross multiply
    83,403.68x = 114,963.30 × 65,468.45
  4. Step 4: Simplify right side
    83,403.68x = 7,526,469,345.29
  5. Step 5: Solve for x
    x = 7,526,469,345.29/83,403.68
  6. Step 6: Final answer
    x = 90,241.46

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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.