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Finding the Fourth Proportional to 181,817.20, 272,469.80 and 144,441.20

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Solution

The fourth proportional to 181,817.20, 272,469.80 and 144,441.20 is: 216,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,817.20 : 272,469.80 = 144,441.20 : x
  2. Step 2: Convert to fraction form
    181,817.20/272,469.80 = 144,441.20/x
  3. Step 3: Cross multiply
    181,817.20x = 272,469.80 × 144,441.20
  4. Step 4: Simplify right side
    181,817.20x = 39,355,864,875.76
  5. Step 5: Solve for x
    x = 39,355,864,875.76/181,817.20
  6. Step 6: Final answer
    x = 216,458.43

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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.