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Finding the Fourth Proportional to 338,891.06, 508,337.24 and 102,233.96

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Solution

The fourth proportional to 338,891.06, 508,337.24 and 102,233.96 is: 153,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,891.06 : 508,337.24 = 102,233.96 : x
  2. Step 2: Convert to fraction form
    338,891.06/508,337.24 = 102,233.96/x
  3. Step 3: Cross multiply
    338,891.06x = 508,337.24 × 102,233.96
  4. Step 4: Simplify right side
    338,891.06x = 51,969,329,820.34
  5. Step 5: Solve for x
    x = 51,969,329,820.34/338,891.06
  6. Step 6: Final answer
    x = 153,351.14

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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.