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Finding the Fourth Proportional to 144,902.30, 217,275.69 and 45,019.58

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Solution

The fourth proportional to 144,902.30, 217,275.69 and 45,019.58 is: 67,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.30 : 217,275.69 = 45,019.58 : x
  2. Step 2: Convert to fraction form
    144,902.30/217,275.69 = 45,019.58/x
  3. Step 3: Cross multiply
    144,902.30x = 217,275.69 × 45,019.58
  4. Step 4: Simplify right side
    144,902.30x = 9,781,660,308.01
  5. Step 5: Solve for x
    x = 9,781,660,308.01/144,902.30
  6. Step 6: Final answer
    x = 67,505.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.