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Finding the Fourth Proportional to 294,190.76, 441,472.62 and 125,712.25

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Solution

The fourth proportional to 294,190.76, 441,472.62 and 125,712.25 is: 188,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,190.76 : 441,472.62 = 125,712.25 : x
  2. Step 2: Convert to fraction form
    294,190.76/441,472.62 = 125,712.25/x
  3. Step 3: Cross multiply
    294,190.76x = 441,472.62 × 125,712.25
  4. Step 4: Simplify right side
    294,190.76x = 55,498,516,373.60
  5. Step 5: Solve for x
    x = 55,498,516,373.60/294,190.76
  6. Step 6: Final answer
    x = 188,648.06

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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.