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Finding the Fourth Proportional to 209,366.49, 313,859.67 and 76,152.57

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Solution

The fourth proportional to 209,366.49, 313,859.67 and 76,152.57 is: 114,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,366.49 : 313,859.67 = 76,152.57 : x
  2. Step 2: Convert to fraction form
    209,366.49/313,859.67 = 76,152.57/x
  3. Step 3: Cross multiply
    209,366.49x = 313,859.67 × 76,152.57
  4. Step 4: Simplify right side
    209,366.49x = 23,901,218,920.55
  5. Step 5: Solve for x
    x = 23,901,218,920.55/209,366.49
  6. Step 6: Final answer
    x = 114,159.72

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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.