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Finding the Fourth Proportional to 312,583.52, 468,896.88 and 125,595.20

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Solution

The fourth proportional to 312,583.52, 468,896.88 and 125,595.20 is: 188,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,583.52 : 468,896.88 = 125,595.20 : x
  2. Step 2: Convert to fraction form
    312,583.52/468,896.88 = 125,595.20/x
  3. Step 3: Cross multiply
    312,583.52x = 468,896.88 × 125,595.20
  4. Step 4: Simplify right side
    312,583.52x = 58,891,197,422.98
  5. Step 5: Solve for x
    x = 58,891,197,422.98/312,583.52
  6. Step 6: Final answer
    x = 188,401.48

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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.