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Finding the Fourth Proportional to 197,227.60, 296,035.80 and 97,500.40

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Solution

The fourth proportional to 197,227.60, 296,035.80 and 97,500.40 is: 146,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,227.60 : 296,035.80 = 97,500.40 : x
  2. Step 2: Convert to fraction form
    197,227.60/296,035.80 = 97,500.40/x
  3. Step 3: Cross multiply
    197,227.60x = 296,035.80 × 97,500.40
  4. Step 4: Simplify right side
    197,227.60x = 28,863,608,914.32
  5. Step 5: Solve for x
    x = 28,863,608,914.32/197,227.60
  6. Step 6: Final answer
    x = 146,346.70

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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.