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Finding the Fourth Proportional to 119,177.46, 178,679.52 and 55,965.02

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Solution

The fourth proportional to 119,177.46, 178,679.52 and 55,965.02 is: 83,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,177.46 : 178,679.52 = 55,965.02 : x
  2. Step 2: Convert to fraction form
    119,177.46/178,679.52 = 55,965.02/x
  3. Step 3: Cross multiply
    119,177.46x = 178,679.52 × 55,965.02
  4. Step 4: Simplify right side
    119,177.46x = 9,999,802,016.99
  5. Step 5: Solve for x
    x = 9,999,802,016.99/119,177.46
  6. Step 6: Final answer
    x = 83,906.82

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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.