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Finding the Fourth Proportional to 144,965.80, 217,448.70 and 97,726.60

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Solution

The fourth proportional to 144,965.80, 217,448.70 and 97,726.60 is: 146,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965.80 : 217,448.70 = 97,726.60 : x
  2. Step 2: Convert to fraction form
    144,965.80/217,448.70 = 97,726.60/x
  3. Step 3: Cross multiply
    144,965.80x = 217,448.70 × 97,726.60
  4. Step 4: Simplify right side
    144,965.80x = 21,250,522,125.42
  5. Step 5: Solve for x
    x = 21,250,522,125.42/144,965.80
  6. Step 6: Final answer
    x = 146,589.90

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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.