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Finding the Fourth Proportional to 144,691.65, 217,278.32 and 97,609.77

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Solution

The fourth proportional to 144,691.65, 217,278.32 and 97,609.77 is: 146,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,691.65 : 217,278.32 = 97,609.77 : x
  2. Step 2: Convert to fraction form
    144,691.65/217,278.32 = 97,609.77/x
  3. Step 3: Cross multiply
    144,691.65x = 217,278.32 × 97,609.77
  4. Step 4: Simplify right side
    144,691.65x = 21,208,486,353.14
  5. Step 5: Solve for x
    x = 21,208,486,353.14/144,691.65
  6. Step 6: Final answer
    x = 146,577.13

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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.