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Finding the Fourth Proportional to 209,125.74, 313,687.98 and 59,366.16

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Solution

The fourth proportional to 209,125.74, 313,687.98 and 59,366.16 is: 89,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,125.74 : 313,687.98 = 59,366.16 : x
  2. Step 2: Convert to fraction form
    209,125.74/313,687.98 = 59,366.16/x
  3. Step 3: Cross multiply
    209,125.74x = 313,687.98 × 59,366.16
  4. Step 4: Simplify right side
    209,125.74x = 18,622,450,810.76
  5. Step 5: Solve for x
    x = 18,622,450,810.76/209,125.74
  6. Step 6: Final answer
    x = 89,049.06

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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.