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Finding the Fourth Proportional to 195,299.40, 292,257.90 and 133,091.40

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Solution

The fourth proportional to 195,299.40, 292,257.90 and 133,091.40 is: 199,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,299.40 : 292,257.90 = 133,091.40 : x
  2. Step 2: Convert to fraction form
    195,299.40/292,257.90 = 133,091.40/x
  3. Step 3: Cross multiply
    195,299.40x = 292,257.90 × 133,091.40
  4. Step 4: Simplify right side
    195,299.40x = 38,897,013,072.06
  5. Step 5: Solve for x
    x = 38,897,013,072.06/195,299.40
  6. Step 6: Final answer
    x = 199,166.07

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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.