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Finding the Fourth Proportional to 241,015.68, 361,282.92 and 83,143.44

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Solution

The fourth proportional to 241,015.68, 361,282.92 and 83,143.44 is: 124,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,015.68 : 361,282.92 = 83,143.44 : x
  2. Step 2: Convert to fraction form
    241,015.68/361,282.92 = 83,143.44/x
  3. Step 3: Cross multiply
    241,015.68x = 361,282.92 × 83,143.44
  4. Step 4: Simplify right side
    241,015.68x = 30,038,304,782.04
  5. Step 5: Solve for x
    x = 30,038,304,782.04/241,015.68
  6. Step 6: Final answer
    x = 124,632.16

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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.