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Finding the Fourth Proportional to 265,294.52, 397,957.35 and 75,740.31

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Solution

The fourth proportional to 265,294.52, 397,957.35 and 75,740.31 is: 113,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,294.52 : 397,957.35 = 75,740.31 : x
  2. Step 2: Convert to fraction form
    265,294.52/397,957.35 = 75,740.31/x
  3. Step 3: Cross multiply
    265,294.52x = 397,957.35 × 75,740.31
  4. Step 4: Simplify right side
    265,294.52x = 30,141,413,055.78
  5. Step 5: Solve for x
    x = 30,141,413,055.78/265,294.52
  6. Step 6: Final answer
    x = 113,614.91

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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.