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Finding the Fourth Proportional to 209,126.74, 313,689.48 and 59,367.16

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Solution

The fourth proportional to 209,126.74, 313,689.48 and 59,367.16 is: 89,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,126.74 : 313,689.48 = 59,367.16 : x
  2. Step 2: Convert to fraction form
    209,126.74/313,689.48 = 59,367.16/x
  3. Step 3: Cross multiply
    209,126.74x = 313,689.48 × 59,367.16
  4. Step 4: Simplify right side
    209,126.74x = 18,622,853,549.48
  5. Step 5: Solve for x
    x = 18,622,853,549.48/209,126.74
  6. Step 6: Final answer
    x = 89,050.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.