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Finding the Fourth Proportional to 209,615.57, 314,472.09 and 59,857.91

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Solution

The fourth proportional to 209,615.57, 314,472.09 and 59,857.91 is: 89,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.57 : 314,472.09 = 59,857.91 : x
  2. Step 2: Convert to fraction form
    209,615.57/314,472.09 = 59,857.91/x
  3. Step 3: Cross multiply
    209,615.57x = 314,472.09 × 59,857.91
  4. Step 4: Simplify right side
    209,615.57x = 18,823,642,060.73
  5. Step 5: Solve for x
    x = 18,823,642,060.73/209,615.57
  6. Step 6: Final answer
    x = 89,800.78

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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.