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Finding the Fourth Proportional to 116,909.66, 175,390.47 and 54,546.14

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Solution

The fourth proportional to 116,909.66, 175,390.47 and 54,546.14 is: 81,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,909.66 : 175,390.47 = 54,546.14 : x
  2. Step 2: Convert to fraction form
    116,909.66/175,390.47 = 54,546.14/x
  3. Step 3: Cross multiply
    116,909.66x = 175,390.47 × 54,546.14
  4. Step 4: Simplify right side
    116,909.66x = 9,566,873,131.29
  5. Step 5: Solve for x
    x = 9,566,873,131.29/116,909.66
  6. Step 6: Final answer
    x = 81,831.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.