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Finding the Fourth Proportional to 241,266.87, 361,678.87 and 83,384.61

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Solution

The fourth proportional to 241,266.87, 361,678.87 and 83,384.61 is: 125,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,266.87 : 361,678.87 = 83,384.61 : x
  2. Step 2: Convert to fraction form
    241,266.87/361,678.87 = 83,384.61/x
  3. Step 3: Cross multiply
    241,266.87x = 361,678.87 × 83,384.61
  4. Step 4: Simplify right side
    241,266.87x = 30,158,450,268.13
  5. Step 5: Solve for x
    x = 30,158,450,268.13/241,266.87
  6. Step 6: Final answer
    x = 125,000.38

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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.