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Finding the Fourth Proportional to 144,469.20, 216,281.40 and 102,997.20

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Solution

The fourth proportional to 144,469.20, 216,281.40 and 102,997.20 is: 154,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,469.20 : 216,281.40 = 102,997.20 : x
  2. Step 2: Convert to fraction form
    144,469.20/216,281.40 = 102,997.20/x
  3. Step 3: Cross multiply
    144,469.20x = 216,281.40 × 102,997.20
  4. Step 4: Simplify right side
    144,469.20x = 22,276,378,612.08
  5. Step 5: Solve for x
    x = 22,276,378,612.08/144,469.20
  6. Step 6: Final answer
    x = 154,194.66

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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.