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Finding the Fourth Proportional to 144,957.96, 200,022.66 and 80,426.16

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Solution

The fourth proportional to 144,957.96, 200,022.66 and 80,426.16 is: 110,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,957.96 : 200,022.66 = 80,426.16 : x
  2. Step 2: Convert to fraction form
    144,957.96/200,022.66 = 80,426.16/x
  3. Step 3: Cross multiply
    144,957.96x = 200,022.66 × 80,426.16
  4. Step 4: Simplify right side
    144,957.96x = 16,087,054,456.79
  5. Step 5: Solve for x
    x = 16,087,054,456.79/144,957.96
  6. Step 6: Final answer
    x = 110,977.38

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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.