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Finding the Fourth Proportional to 307,862.52, 461,863.02 and 108,196.70

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Solution

The fourth proportional to 307,862.52, 461,863.02 and 108,196.70 is: 162,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,862.52 : 461,863.02 = 108,196.70 : x
  2. Step 2: Convert to fraction form
    307,862.52/461,863.02 = 108,196.70/x
  3. Step 3: Cross multiply
    307,862.52x = 461,863.02 × 108,196.70
  4. Step 4: Simplify right side
    307,862.52x = 49,972,054,616.03
  5. Step 5: Solve for x
    x = 49,972,054,616.03/307,862.52
  6. Step 6: Final answer
    x = 162,319.38

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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.