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Finding the Fourth Proportional to 513,872.80, 770,809.20 and 139,895.20

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Solution

The fourth proportional to 513,872.80, 770,809.20 and 139,895.20 is: 209,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,872.80 : 770,809.20 = 139,895.20 : x
  2. Step 2: Convert to fraction form
    513,872.80/770,809.20 = 139,895.20/x
  3. Step 3: Cross multiply
    513,872.80x = 770,809.20 × 139,895.20
  4. Step 4: Simplify right side
    513,872.80x = 107,832,507,195.84
  5. Step 5: Solve for x
    x = 107,832,507,195.84/513,872.80
  6. Step 6: Final answer
    x = 209,842.80

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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.