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Finding the Fourth Proportional to 197,200.55, 295,904.10 and 90,616.70

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Solution

The fourth proportional to 197,200.55, 295,904.10 and 90,616.70 is: 135,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,200.55 : 295,904.10 = 90,616.70 : x
  2. Step 2: Convert to fraction form
    197,200.55/295,904.10 = 90,616.70/x
  3. Step 3: Cross multiply
    197,200.55x = 295,904.10 × 90,616.70
  4. Step 4: Simplify right side
    197,200.55x = 26,813,853,058.47
  5. Step 5: Solve for x
    x = 26,813,853,058.47/197,200.55
  6. Step 6: Final answer
    x = 135,972.51

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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.