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Finding the Fourth Proportional to 361,965.87, 542,626.16 and 137,483.94

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Solution

The fourth proportional to 361,965.87, 542,626.16 and 137,483.94 is: 206,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,965.87 : 542,626.16 = 137,483.94 : x
  2. Step 2: Convert to fraction form
    361,965.87/542,626.16 = 137,483.94/x
  3. Step 3: Cross multiply
    361,965.87x = 542,626.16 × 137,483.94
  4. Step 4: Simplify right side
    361,965.87x = 74,602,382,423.87
  5. Step 5: Solve for x
    x = 74,602,382,423.87/361,965.87
  6. Step 6: Final answer
    x = 206,103.36

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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.