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Finding the Fourth Proportional to 144,262.57, 199,048.23 and 83,797.30

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Solution

The fourth proportional to 144,262.57, 199,048.23 and 83,797.30 is: 115,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,262.57 : 199,048.23 = 83,797.30 : x
  2. Step 2: Convert to fraction form
    144,262.57/199,048.23 = 83,797.30/x
  3. Step 3: Cross multiply
    144,262.57x = 199,048.23 × 83,797.30
  4. Step 4: Simplify right side
    144,262.57x = 16,679,704,243.78
  5. Step 5: Solve for x
    x = 16,679,704,243.78/144,262.57
  6. Step 6: Final answer
    x = 115,620.46

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1.5x scale

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.