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Finding the Fourth Proportional to 114,691.60, 158,284.38 and 63,714.24

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Solution

The fourth proportional to 114,691.60, 158,284.38 and 63,714.24 is: 87,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,691.60 : 158,284.38 = 63,714.24 : x
  2. Step 2: Convert to fraction form
    114,691.60/158,284.38 = 63,714.24/x
  3. Step 3: Cross multiply
    114,691.60x = 158,284.38 × 63,714.24
  4. Step 4: Simplify right side
    114,691.60x = 10,084,968,975.57
  5. Step 5: Solve for x
    x = 10,084,968,975.57/114,691.60
  6. Step 6: Final answer
    x = 87,931.19

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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.