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Finding the Fourth Proportional to 240,813.50, 361,237.57 and 83,039.68

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Solution

The fourth proportional to 240,813.50, 361,237.57 and 83,039.68 is: 124,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,813.50 : 361,237.57 = 83,039.68 : x
  2. Step 2: Convert to fraction form
    240,813.50/361,237.57 = 83,039.68/x
  3. Step 3: Cross multiply
    240,813.50x = 361,237.57 × 83,039.68
  4. Step 4: Simplify right side
    240,813.50x = 29,997,052,216.78
  5. Step 5: Solve for x
    x = 29,997,052,216.78/240,813.50
  6. Step 6: Final answer
    x = 124,565.49

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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.