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Finding the Fourth Proportional to 114,712.90, 158,329.12 and 63,743.14

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Solution

The fourth proportional to 114,712.90, 158,329.12 and 63,743.14 is: 87,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,712.90 : 158,329.12 = 63,743.14 : x
  2. Step 2: Convert to fraction form
    114,712.90/158,329.12 = 63,743.14/x
  3. Step 3: Cross multiply
    114,712.90x = 158,329.12 × 63,743.14
  4. Step 4: Simplify right side
    114,712.90x = 10,092,395,262.24
  5. Step 5: Solve for x
    x = 10,092,395,262.24/114,712.90
  6. Step 6: Final answer
    x = 87,979.60

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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.