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Finding the Fourth Proportional to 209,257.66, 313,839.20 and 59,494.66

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Solution

The fourth proportional to 209,257.66, 313,839.20 and 59,494.66 is: 89,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257.66 : 313,839.20 = 59,494.66 : x
  2. Step 2: Convert to fraction form
    209,257.66/313,839.20 = 59,494.66/x
  3. Step 3: Cross multiply
    209,257.66x = 313,839.20 × 59,494.66
  4. Step 4: Simplify right side
    209,257.66x = 18,671,756,498.67
  5. Step 5: Solve for x
    x = 18,671,756,498.67/209,257.66
  6. Step 6: Final answer
    x = 89,228.54

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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.