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Finding the Fourth Proportional to 338,906.20, 508,362.90 and 102,250.93

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Solution

The fourth proportional to 338,906.20, 508,362.90 and 102,250.93 is: 153,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,906.20 : 508,362.90 = 102,250.93 : x
  2. Step 2: Convert to fraction form
    338,906.20/508,362.90 = 102,250.93/x
  3. Step 3: Cross multiply
    338,906.20x = 508,362.90 × 102,250.93
  4. Step 4: Simplify right side
    338,906.20x = 51,980,579,302.50
  5. Step 5: Solve for x
    x = 51,980,579,302.50/338,906.20
  6. Step 6: Final answer
    x = 153,377.48

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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.