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Finding the Fourth Proportional to 403,752.60, 605,628.90 and 137,424.60

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Solution

The fourth proportional to 403,752.60, 605,628.90 and 137,424.60 is: 206,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,752.60 : 605,628.90 = 137,424.60 : x
  2. Step 2: Convert to fraction form
    403,752.60/605,628.90 = 137,424.60/x
  3. Step 3: Cross multiply
    403,752.60x = 605,628.90 × 137,424.60
  4. Step 4: Simplify right side
    403,752.60x = 83,228,309,330.94
  5. Step 5: Solve for x
    x = 83,228,309,330.94/403,752.60
  6. Step 6: Final answer
    x = 206,136.90

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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.