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Finding the Fourth Proportional to 119,311.60, 178,963.28 and 30,565.98

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Solution

The fourth proportional to 119,311.60, 178,963.28 and 30,565.98 is: 45,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,311.60 : 178,963.28 = 30,565.98 : x
  2. Step 2: Convert to fraction form
    119,311.60/178,963.28 = 30,565.98/x
  3. Step 3: Cross multiply
    119,311.60x = 178,963.28 × 30,565.98
  4. Step 4: Simplify right side
    119,311.60x = 5,470,188,037.21
  5. Step 5: Solve for x
    x = 5,470,188,037.21/119,311.60
  6. Step 6: Final answer
    x = 45,847.91

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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.