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Finding the Fourth Proportional to 111,180.80, 166,657.80 and 54,934.40

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Solution

The fourth proportional to 111,180.80, 166,657.80 and 54,934.40 is: 82,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,180.80 : 166,657.80 = 54,934.40 : x
  2. Step 2: Convert to fraction form
    111,180.80/166,657.80 = 54,934.40/x
  3. Step 3: Cross multiply
    111,180.80x = 166,657.80 × 54,934.40
  4. Step 4: Simplify right side
    111,180.80x = 9,155,246,248.32
  5. Step 5: Solve for x
    x = 9,155,246,248.32/111,180.80
  6. Step 6: Final answer
    x = 82,345.57

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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.