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Finding the Fourth Proportional to 254,058.52, 350,612.97 and 146,642.80

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Solution

The fourth proportional to 254,058.52, 350,612.97 and 146,642.80 is: 202,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,058.52 : 350,612.97 = 146,642.80 : x
  2. Step 2: Convert to fraction form
    254,058.52/350,612.97 = 146,642.80/x
  3. Step 3: Cross multiply
    254,058.52x = 350,612.97 × 146,642.80
  4. Step 4: Simplify right side
    254,058.52x = 51,414,867,637.12
  5. Step 5: Solve for x
    x = 51,414,867,637.12/254,058.52
  6. Step 6: Final answer
    x = 202,374.11

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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.