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Finding the Fourth Proportional to 119,516.64, 179,245.80 and 49,416

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Solution

The fourth proportional to 119,516.64, 179,245.80 and 49,416 is: 74,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,516.64 : 179,245.80 = 49,416 : x
  2. Step 2: Convert to fraction form
    119,516.64/179,245.80 = 49,416/x
  3. Step 3: Cross multiply
    119,516.64x = 179,245.80 × 49,416
  4. Step 4: Simplify right side
    119,516.64x = 8,857,610,452.80
  5. Step 5: Solve for x
    x = 8,857,610,452.80/119,516.64
  6. Step 6: Final answer
    x = 74,111.94

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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.