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Finding the Fourth Proportional to 254,506.01, 381,695.96 and 86,022.62

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Solution

The fourth proportional to 254,506.01, 381,695.96 and 86,022.62 is: 129,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,506.01 : 381,695.96 = 86,022.62 : x
  2. Step 2: Convert to fraction form
    254,506.01/381,695.96 = 86,022.62/x
  3. Step 3: Cross multiply
    254,506.01x = 381,695.96 × 86,022.62
  4. Step 4: Simplify right side
    254,506.01x = 32,834,484,184.02
  5. Step 5: Solve for x
    x = 32,834,484,184.02/254,506.01
  6. Step 6: Final answer
    x = 129,012.61

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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.