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Finding the Fourth Proportional to 209,352.59, 313,981.72 and 59,589.57

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Solution

The fourth proportional to 209,352.59, 313,981.72 and 59,589.57 is: 89,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.59 : 313,981.72 = 59,589.57 : x
  2. Step 2: Convert to fraction form
    209,352.59/313,981.72 = 59,589.57/x
  3. Step 3: Cross multiply
    209,352.59x = 313,981.72 × 59,589.57
  4. Step 4: Simplify right side
    209,352.59x = 18,710,034,112.75
  5. Step 5: Solve for x
    x = 18,710,034,112.75/209,352.59
  6. Step 6: Final answer
    x = 89,370.92

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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.