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Finding the Fourth Proportional to 197,294.40, 295,601.40 and 91,897.20

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Solution

The fourth proportional to 197,294.40, 295,601.40 and 91,897.20 is: 137,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,294.40 : 295,601.40 = 91,897.20 : x
  2. Step 2: Convert to fraction form
    197,294.40/295,601.40 = 91,897.20/x
  3. Step 3: Cross multiply
    197,294.40x = 295,601.40 × 91,897.20
  4. Step 4: Simplify right side
    197,294.40x = 27,164,940,976.08
  5. Step 5: Solve for x
    x = 27,164,940,976.08/197,294.40
  6. Step 6: Final answer
    x = 137,687.34

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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.