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Finding the Fourth Proportional to 241,017.68, 361,285.92 and 83,145.44

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Solution

The fourth proportional to 241,017.68, 361,285.92 and 83,145.44 is: 124,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,017.68 : 361,285.92 = 83,145.44 : x
  2. Step 2: Convert to fraction form
    241,017.68/361,285.92 = 83,145.44/x
  3. Step 3: Cross multiply
    241,017.68x = 361,285.92 × 83,145.44
  4. Step 4: Simplify right side
    241,017.68x = 30,039,276,784.20
  5. Step 5: Solve for x
    x = 30,039,276,784.20/241,017.68
  6. Step 6: Final answer
    x = 124,635.16

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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.