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Finding the Fourth Proportional to 265,414.14, 397,594.50 and 125,271.18

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Solution

The fourth proportional to 265,414.14, 397,594.50 and 125,271.18 is: 187,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414.14 : 397,594.50 = 125,271.18 : x
  2. Step 2: Convert to fraction form
    265,414.14/397,594.50 = 125,271.18/x
  3. Step 3: Cross multiply
    265,414.14x = 397,594.50 × 125,271.18
  4. Step 4: Simplify right side
    265,414.14x = 49,807,132,176.51
  5. Step 5: Solve for x
    x = 49,807,132,176.51/265,414.14
  6. Step 6: Final answer
    x = 187,658.17

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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.