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Finding the Fourth Proportional to 119,299.30, 178,905.11 and 35,037.83

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Solution

The fourth proportional to 119,299.30, 178,905.11 and 35,037.83 is: 52,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,299.30 : 178,905.11 = 35,037.83 : x
  2. Step 2: Convert to fraction form
    119,299.30/178,905.11 = 35,037.83/x
  3. Step 3: Cross multiply
    119,299.30x = 178,905.11 × 35,037.83
  4. Step 4: Simplify right side
    119,299.30x = 6,268,447,102.38
  5. Step 5: Solve for x
    x = 6,268,447,102.38/119,299.30
  6. Step 6: Final answer
    x = 52,543.87

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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.