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Finding the Fourth Proportional to 254,038.01, 381,121.09 and 179,304.12

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Solution

The fourth proportional to 254,038.01, 381,121.09 and 179,304.12 is: 269,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,038.01 : 381,121.09 = 179,304.12 : x
  2. Step 2: Convert to fraction form
    254,038.01/381,121.09 = 179,304.12/x
  3. Step 3: Cross multiply
    254,038.01x = 381,121.09 × 179,304.12
  4. Step 4: Simplify right side
    254,038.01x = 68,336,581,655.89
  5. Step 5: Solve for x
    x = 68,336,581,655.89/254,038.01
  6. Step 6: Final answer
    x = 269,001.41

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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.