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Finding the Fourth Proportional to 83,435.16, 115,156.54 and 65,249.86

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Solution

The fourth proportional to 83,435.16, 115,156.54 and 65,249.86 is: 90,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,435.16 : 115,156.54 = 65,249.86 : x
  2. Step 2: Convert to fraction form
    83,435.16/115,156.54 = 65,249.86/x
  3. Step 3: Cross multiply
    83,435.16x = 115,156.54 × 65,249.86
  4. Step 4: Simplify right side
    83,435.16x = 7,513,948,113.08
  5. Step 5: Solve for x
    x = 7,513,948,113.08/83,435.16
  6. Step 6: Final answer
    x = 90,057.33

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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.