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Finding the Fourth Proportional to 200,920.52, 301,465.12 and 125,082.48

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Solution

The fourth proportional to 200,920.52, 301,465.12 and 125,082.48 is: 187,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.52 : 301,465.12 = 125,082.48 : x
  2. Step 2: Convert to fraction form
    200,920.52/301,465.12 = 125,082.48/x
  3. Step 3: Cross multiply
    200,920.52x = 301,465.12 × 125,082.48
  4. Step 4: Simplify right side
    200,920.52x = 37,708,005,284.05
  5. Step 5: Solve for x
    x = 37,708,005,284.05/200,920.52
  6. Step 6: Final answer
    x = 187,676.23

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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.