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Finding the Fourth Proportional to 258,257.04, 387,463.32 and 92,058

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Solution

The fourth proportional to 258,257.04, 387,463.32 and 92,058 is: 138,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,257.04 : 387,463.32 = 92,058 : x
  2. Step 2: Convert to fraction form
    258,257.04/387,463.32 = 92,058/x
  3. Step 3: Cross multiply
    258,257.04x = 387,463.32 × 92,058
  4. Step 4: Simplify right side
    258,257.04x = 35,669,098,312.56
  5. Step 5: Solve for x
    x = 35,669,098,312.56/258,257.04
  6. Step 6: Final answer
    x = 138,114.72

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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.