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Finding the Fourth Proportional to 258,442.96, 387,625.56 and 165,597.52

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Solution

The fourth proportional to 258,442.96, 387,625.56 and 165,597.52 is: 248,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,442.96 : 387,625.56 = 165,597.52 : x
  2. Step 2: Convert to fraction form
    258,442.96/387,625.56 = 165,597.52/x
  3. Step 3: Cross multiply
    258,442.96x = 387,625.56 × 165,597.52
  4. Step 4: Simplify right side
    258,442.96x = 64,189,831,424.61
  5. Step 5: Solve for x
    x = 64,189,831,424.61/258,442.96
  6. Step 6: Final answer
    x = 248,371.37

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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.