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Finding the Fourth Proportional to 361,756.48, 542,560.78 and 137,039.44

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Solution

The fourth proportional to 361,756.48, 542,560.78 and 137,039.44 is: 205,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,756.48 : 542,560.78 = 137,039.44 : x
  2. Step 2: Convert to fraction form
    361,756.48/542,560.78 = 137,039.44/x
  3. Step 3: Cross multiply
    361,756.48x = 542,560.78 × 137,039.44
  4. Step 4: Simplify right side
    361,756.48x = 74,352,225,457.16
  5. Step 5: Solve for x
    x = 74,352,225,457.16/361,756.48
  6. Step 6: Final answer
    x = 205,531.15

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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.