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Finding the Fourth Proportional to 150,519, 225,793.62 and 39,711

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Solution

The fourth proportional to 150,519, 225,793.62 and 39,711 is: 59,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,519 : 225,793.62 = 39,711 : x
  2. Step 2: Convert to fraction form
    150,519/225,793.62 = 39,711/x
  3. Step 3: Cross multiply
    150,519x = 225,793.62 × 39,711
  4. Step 4: Simplify right side
    150,519x = 8,966,490,443.82
  5. Step 5: Solve for x
    x = 8,966,490,443.82/150,519
  6. Step 6: Final answer
    x = 59,570.49

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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.