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Finding the Fourth Proportional to 209,352.34, 313,981.35 and 59,589.32

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Solution

The fourth proportional to 209,352.34, 313,981.35 and 59,589.32 is: 89,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.34 : 313,981.35 = 59,589.32 : x
  2. Step 2: Convert to fraction form
    209,352.34/313,981.35 = 59,589.32/x
  3. Step 3: Cross multiply
    209,352.34x = 313,981.35 × 59,589.32
  4. Step 4: Simplify right side
    209,352.34x = 18,709,933,345.82
  5. Step 5: Solve for x
    x = 18,709,933,345.82/209,352.34
  6. Step 6: Final answer
    x = 89,370.55

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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.