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Finding the Fourth Proportional to 144,902.60, 217,062.30 and 97,663.40

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Solution

The fourth proportional to 144,902.60, 217,062.30 and 97,663.40 is: 146,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.60 : 217,062.30 = 97,663.40 : x
  2. Step 2: Convert to fraction form
    144,902.60/217,062.30 = 97,663.40/x
  3. Step 3: Cross multiply
    144,902.60x = 217,062.30 × 97,663.40
  4. Step 4: Simplify right side
    144,902.60x = 21,199,042,229.82
  5. Step 5: Solve for x
    x = 21,199,042,229.82/144,902.60
  6. Step 6: Final answer
    x = 146,298.56

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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.