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Finding the Fourth Proportional to 119,348.64, 178,916.04 and 49,183.20

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Solution

The fourth proportional to 119,348.64, 178,916.04 and 49,183.20 is: 73,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,348.64 : 178,916.04 = 49,183.20 : x
  2. Step 2: Convert to fraction form
    119,348.64/178,916.04 = 49,183.20/x
  3. Step 3: Cross multiply
    119,348.64x = 178,916.04 × 49,183.20
  4. Step 4: Simplify right side
    119,348.64x = 8,799,663,378.53
  5. Step 5: Solve for x
    x = 8,799,663,378.53/119,348.64
  6. Step 6: Final answer
    x = 73,730.74

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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.