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Finding the Fourth Proportional to 114,708.18, 158,314.52 and 82,549.26

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Solution

The fourth proportional to 114,708.18, 158,314.52 and 82,549.26 is: 113,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,708.18 : 158,314.52 = 82,549.26 : x
  2. Step 2: Convert to fraction form
    114,708.18/158,314.52 = 82,549.26/x
  3. Step 3: Cross multiply
    114,708.18x = 158,314.52 × 82,549.26
  4. Step 4: Simplify right side
    114,708.18x = 13,068,746,473.26
  5. Step 5: Solve for x
    x = 13,068,746,473.26/114,708.18
  6. Step 6: Final answer
    x = 113,930.38

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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.