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Finding the Fourth Proportional to 136,393.20, 205,027.20 and 97,221.60

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Solution

The fourth proportional to 136,393.20, 205,027.20 and 97,221.60 is: 146,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,393.20 : 205,027.20 = 97,221.60 : x
  2. Step 2: Convert to fraction form
    136,393.20/205,027.20 = 97,221.60/x
  3. Step 3: Cross multiply
    136,393.20x = 205,027.20 × 97,221.60
  4. Step 4: Simplify right side
    136,393.20x = 19,933,072,427.52
  5. Step 5: Solve for x
    x = 19,933,072,427.52/136,393.20
  6. Step 6: Final answer
    x = 146,144.18

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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.