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Finding the Fourth Proportional to 197,201.70, 295,568.95 and 90,495.71

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Solution

The fourth proportional to 197,201.70, 295,568.95 and 90,495.71 is: 135,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201.70 : 295,568.95 = 90,495.71 : x
  2. Step 2: Convert to fraction form
    197,201.70/295,568.95 = 90,495.71/x
  3. Step 3: Cross multiply
    197,201.70x = 295,568.95 × 90,495.71
  4. Step 4: Simplify right side
    197,201.70x = 26,747,720,726.90
  5. Step 5: Solve for x
    x = 26,747,720,726.90/197,201.70
  6. Step 6: Final answer
    x = 135,636.36

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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.