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Finding the Fourth Proportional to 259,906.38, 358,672.50 and 152,478.78

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Solution

The fourth proportional to 259,906.38, 358,672.50 and 152,478.78 is: 210,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,906.38 : 358,672.50 = 152,478.78 : x
  2. Step 2: Convert to fraction form
    259,906.38/358,672.50 = 152,478.78/x
  3. Step 3: Cross multiply
    259,906.38x = 358,672.50 × 152,478.78
  4. Step 4: Simplify right side
    259,906.38x = 54,689,945,219.55
  5. Step 5: Solve for x
    x = 54,689,945,219.55/259,906.38
  6. Step 6: Final answer
    x = 210,421.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.