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Finding the Fourth Proportional to 144,520.65, 199,411.71 and 84,069.24

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Solution

The fourth proportional to 144,520.65, 199,411.71 and 84,069.24 is: 115,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,520.65 : 199,411.71 = 84,069.24 : x
  2. Step 2: Convert to fraction form
    144,520.65/199,411.71 = 84,069.24/x
  3. Step 3: Cross multiply
    144,520.65x = 199,411.71 × 84,069.24
  4. Step 4: Simplify right side
    144,520.65x = 16,764,390,906.80
  5. Step 5: Solve for x
    x = 16,764,390,906.80/144,520.65
  6. Step 6: Final answer
    x = 115,999.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.