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Finding the Fourth Proportional to 144,022.80, 216,034.20 and 133,525.20

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Solution

The fourth proportional to 144,022.80, 216,034.20 and 133,525.20 is: 200,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.80 : 216,034.20 = 133,525.20 : x
  2. Step 2: Convert to fraction form
    144,022.80/216,034.20 = 133,525.20/x
  3. Step 3: Cross multiply
    144,022.80x = 216,034.20 × 133,525.20
  4. Step 4: Simplify right side
    144,022.80x = 28,846,009,761.84
  5. Step 5: Solve for x
    x = 28,846,009,761.84/144,022.80
  6. Step 6: Final answer
    x = 200,287.80

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1.5x scale

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.