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Finding the Fourth Proportional to 254,257.78, 350,943.80 and 158,706.94

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Solution

The fourth proportional to 254,257.78, 350,943.80 and 158,706.94 is: 219,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,257.78 : 350,943.80 = 158,706.94 : x
  2. Step 2: Convert to fraction form
    254,257.78/350,943.80 = 158,706.94/x
  3. Step 3: Cross multiply
    254,257.78x = 350,943.80 × 158,706.94
  4. Step 4: Simplify right side
    254,257.78x = 55,697,216,609.97
  5. Step 5: Solve for x
    x = 55,697,216,609.97/254,257.78
  6. Step 6: Final answer
    x = 219,058.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.