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Finding the Fourth Proportional to 209,247.20, 313,870.80 and 209,247.20

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Solution

The fourth proportional to 209,247.20, 313,870.80 and 209,247.20 is: 313,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,247.20 : 313,870.80 = 209,247.20 : x
  2. Step 2: Convert to fraction form
    209,247.20/313,870.80 = 209,247.20/x
  3. Step 3: Cross multiply
    209,247.20x = 313,870.80 × 209,247.20
  4. Step 4: Simplify right side
    209,247.20x = 65,676,586,061.76
  5. Step 5: Solve for x
    x = 65,676,586,061.76/209,247.20
  6. Step 6: Final answer
    x = 313,870.80

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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.