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Finding the Fourth Proportional to 265,098.24, 397,637.58 and 115,338.54

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Solution

The fourth proportional to 265,098.24, 397,637.58 and 115,338.54 is: 173,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,098.24 : 397,637.58 = 115,338.54 : x
  2. Step 2: Convert to fraction form
    265,098.24/397,637.58 = 115,338.54/x
  3. Step 3: Cross multiply
    265,098.24x = 397,637.58 × 115,338.54
  4. Step 4: Simplify right side
    265,098.24x = 45,862,937,926.33
  5. Step 5: Solve for x
    x = 45,862,937,926.33/265,098.24
  6. Step 6: Final answer
    x = 173,003.55

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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.