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Finding the Fourth Proportional to 403,820.80, 605,731.20 and 137,881.60

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Solution

The fourth proportional to 403,820.80, 605,731.20 and 137,881.60 is: 206,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,820.80 : 605,731.20 = 137,881.60 : x
  2. Step 2: Convert to fraction form
    403,820.80/605,731.20 = 137,881.60/x
  3. Step 3: Cross multiply
    403,820.80x = 605,731.20 × 137,881.60
  4. Step 4: Simplify right side
    403,820.80x = 83,519,187,025.92
  5. Step 5: Solve for x
    x = 83,519,187,025.92/403,820.80
  6. Step 6: Final answer
    x = 206,822.40

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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.