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Finding the Fourth Proportional to 116,711.90, 175,067.85 and 57,662.90

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Solution

The fourth proportional to 116,711.90, 175,067.85 and 57,662.90 is: 86,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,711.90 : 175,067.85 = 57,662.90 : x
  2. Step 2: Convert to fraction form
    116,711.90/175,067.85 = 57,662.90/x
  3. Step 3: Cross multiply
    116,711.90x = 175,067.85 × 57,662.90
  4. Step 4: Simplify right side
    116,711.90x = 10,094,919,927.77
  5. Step 5: Solve for x
    x = 10,094,919,927.77/116,711.90
  6. Step 6: Final answer
    x = 86,494.35

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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.