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Finding the Fourth Proportional to 83,416.05, 114,979.47 and 65,234.57

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Solution

The fourth proportional to 83,416.05, 114,979.47 and 65,234.57 is: 89,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,416.05 : 114,979.47 = 65,234.57 : x
  2. Step 2: Convert to fraction form
    83,416.05/114,979.47 = 65,234.57/x
  3. Step 3: Cross multiply
    83,416.05x = 114,979.47 × 65,234.57
  4. Step 4: Simplify right side
    83,416.05x = 7,500,636,015.17
  5. Step 5: Solve for x
    x = 7,500,636,015.17/83,416.05
  6. Step 6: Final answer
    x = 89,918.38

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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.