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Finding the Fourth Proportional to 185,409.30, 278,049.15 and 96,633.30

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Solution

The fourth proportional to 185,409.30, 278,049.15 and 96,633.30 is: 144,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,409.30 : 278,049.15 = 96,633.30 : x
  2. Step 2: Convert to fraction form
    185,409.30/278,049.15 = 96,633.30/x
  3. Step 3: Cross multiply
    185,409.30x = 278,049.15 × 96,633.30
  4. Step 4: Simplify right side
    185,409.30x = 26,868,806,926.70
  5. Step 5: Solve for x
    x = 26,868,806,926.70/185,409.30
  6. Step 6: Final answer
    x = 144,916.18

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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.