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Finding the Fourth Proportional to 195,300.36, 292,961.96 and 75,357.95

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Solution

The fourth proportional to 195,300.36, 292,961.96 and 75,357.95 is: 113,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,300.36 : 292,961.96 = 75,357.95 : x
  2. Step 2: Convert to fraction form
    195,300.36/292,961.96 = 75,357.95/x
  3. Step 3: Cross multiply
    195,300.36x = 292,961.96 × 75,357.95
  4. Step 4: Simplify right side
    195,300.36x = 22,077,013,654.38
  5. Step 5: Solve for x
    x = 22,077,013,654.38/195,300.36
  6. Step 6: Final answer
    x = 113,041.34

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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.