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Finding the Fourth Proportional to 178,806.34, 268,256.15 and 103,854.43

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Solution

The fourth proportional to 178,806.34, 268,256.15 and 103,854.43 is: 155,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,806.34 : 268,256.15 = 103,854.43 : x
  2. Step 2: Convert to fraction form
    178,806.34/268,256.15 = 103,854.43/x
  3. Step 3: Cross multiply
    178,806.34x = 268,256.15 × 103,854.43
  4. Step 4: Simplify right side
    178,806.34x = 27,859,589,552.24
  5. Step 5: Solve for x
    x = 27,859,589,552.24/178,806.34
  6. Step 6: Final answer
    x = 155,808.73

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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.