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Finding the Fourth Proportional to 294,219.90, 441,387.45 and 125,739.90

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Solution

The fourth proportional to 294,219.90, 441,387.45 and 125,739.90 is: 188,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,219.90 : 441,387.45 = 125,739.90 : x
  2. Step 2: Convert to fraction form
    294,219.90/441,387.45 = 125,739.90/x
  3. Step 3: Cross multiply
    294,219.90x = 441,387.45 × 125,739.90
  4. Step 4: Simplify right side
    294,219.90x = 55,500,013,824.26
  5. Step 5: Solve for x
    x = 55,500,013,824.26/294,219.90
  6. Step 6: Final answer
    x = 188,634.47

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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.