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Finding the Fourth Proportional to 262,242.40, 393,363.60 and 137,567.20

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Solution

The fourth proportional to 262,242.40, 393,363.60 and 137,567.20 is: 206,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,242.40 : 393,363.60 = 137,567.20 : x
  2. Step 2: Convert to fraction form
    262,242.40/393,363.60 = 137,567.20/x
  3. Step 3: Cross multiply
    262,242.40x = 393,363.60 × 137,567.20
  4. Step 4: Simplify right side
    262,242.40x = 54,113,929,033.92
  5. Step 5: Solve for x
    x = 54,113,929,033.92/262,242.40
  6. Step 6: Final answer
    x = 206,350.80

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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.