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Finding the Fourth Proportional to 207,443.20, 310,387.20 and 137,459.20

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Solution

The fourth proportional to 207,443.20, 310,387.20 and 137,459.20 is: 205,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,443.20 : 310,387.20 = 137,459.20 : x
  2. Step 2: Convert to fraction form
    207,443.20/310,387.20 = 137,459.20/x
  3. Step 3: Cross multiply
    207,443.20x = 310,387.20 × 137,459.20
  4. Step 4: Simplify right side
    207,443.20x = 42,665,576,202.24
  5. Step 5: Solve for x
    x = 42,665,576,202.24/207,443.20
  6. Step 6: Final answer
    x = 205,673.53

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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.