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Finding the Fourth Proportional to 258,447.54, 387,695.62 and 76,078.46

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Solution

The fourth proportional to 258,447.54, 387,695.62 and 76,078.46 is: 114,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,447.54 : 387,695.62 = 76,078.46 : x
  2. Step 2: Convert to fraction form
    258,447.54/387,695.62 = 76,078.46/x
  3. Step 3: Cross multiply
    258,447.54x = 387,695.62 × 76,078.46
  4. Step 4: Simplify right side
    258,447.54x = 29,495,284,853.33
  5. Step 5: Solve for x
    x = 29,495,284,853.33/258,447.54
  6. Step 6: Final answer
    x = 114,124.84

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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.