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Finding the Fourth Proportional to 144,400.32, 216,469.26 and 65,471.49

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Solution

The fourth proportional to 144,400.32, 216,469.26 and 65,471.49 is: 98,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,400.32 : 216,469.26 = 65,471.49 : x
  2. Step 2: Convert to fraction form
    144,400.32/216,469.26 = 65,471.49/x
  3. Step 3: Cross multiply
    144,400.32x = 216,469.26 × 65,471.49
  4. Step 4: Simplify right side
    144,400.32x = 14,172,564,991.40
  5. Step 5: Solve for x
    x = 14,172,564,991.40/144,400.32
  6. Step 6: Final answer
    x = 98,147.74

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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.