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Finding the Fourth Proportional to 144,648.39, 216,986.85 and 49,866.09

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Solution

The fourth proportional to 144,648.39, 216,986.85 and 49,866.09 is: 74,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,648.39 : 216,986.85 = 49,866.09 : x
  2. Step 2: Convert to fraction form
    144,648.39/216,986.85 = 49,866.09/x
  3. Step 3: Cross multiply
    144,648.39x = 216,986.85 × 49,866.09
  4. Step 4: Simplify right side
    144,648.39x = 10,820,285,790.92
  5. Step 5: Solve for x
    x = 10,820,285,790.92/144,648.39
  6. Step 6: Final answer
    x = 74,804.05

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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.