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Finding the Fourth Proportional to 209,363.87, 314,168.88 and 76,252.16

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Solution

The fourth proportional to 209,363.87, 314,168.88 and 76,252.16 is: 114,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,363.87 : 314,168.88 = 76,252.16 : x
  2. Step 2: Convert to fraction form
    209,363.87/314,168.88 = 76,252.16/x
  3. Step 3: Cross multiply
    209,363.87x = 314,168.88 × 76,252.16
  4. Step 4: Simplify right side
    209,363.87x = 23,956,055,704.78
  5. Step 5: Solve for x
    x = 23,956,055,704.78/209,363.87
  6. Step 6: Final answer
    x = 114,423.06

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1.5x scale

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.