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Finding the Fourth Proportional to 119,177.76, 178,789.68 and 45,300

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Solution

The fourth proportional to 119,177.76, 178,789.68 and 45,300 is: 67,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,177.76 : 178,789.68 = 45,300 : x
  2. Step 2: Convert to fraction form
    119,177.76/178,789.68 = 45,300/x
  3. Step 3: Cross multiply
    119,177.76x = 178,789.68 × 45,300
  4. Step 4: Simplify right side
    119,177.76x = 8,099,172,504
  5. Step 5: Solve for x
    x = 8,099,172,504/119,177.76
  6. Step 6: Final answer
    x = 67,958.76

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