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Finding the Fourth Proportional to 209,282.88, 313,876.80 and 59,519.68

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Solution

The fourth proportional to 209,282.88, 313,876.80 and 59,519.68 is: 89,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,282.88 : 313,876.80 = 59,519.68 : x
  2. Step 2: Convert to fraction form
    209,282.88/313,876.80 = 59,519.68/x
  3. Step 3: Cross multiply
    209,282.88x = 313,876.80 × 59,519.68
  4. Step 4: Simplify right side
    209,282.88x = 18,681,846,695.42
  5. Step 5: Solve for x
    x = 18,681,846,695.42/209,282.88
  6. Step 6: Final answer
    x = 89,266.01

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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.