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Finding the Fourth Proportional to 361,845.60, 542,560.75 and 137,062.67

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Solution

The fourth proportional to 361,845.60, 542,560.75 and 137,062.67 is: 205,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,845.60 : 542,560.75 = 137,062.67 : x
  2. Step 2: Convert to fraction form
    361,845.60/542,560.75 = 137,062.67/x
  3. Step 3: Cross multiply
    361,845.60x = 542,560.75 × 137,062.67
  4. Step 4: Simplify right side
    361,845.60x = 74,364,825,028.65
  5. Step 5: Solve for x
    x = 74,364,825,028.65/361,845.60
  6. Step 6: Final answer
    x = 205,515.35

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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.