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Finding the Fourth Proportional to 144,022.80, 216,034.20 and 81,814.80

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Solution

The fourth proportional to 144,022.80, 216,034.20 and 81,814.80 is: 122,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.80 : 216,034.20 = 81,814.80 : x
  2. Step 2: Convert to fraction form
    144,022.80/216,034.20 = 81,814.80/x
  3. Step 3: Cross multiply
    144,022.80x = 216,034.20 × 81,814.80
  4. Step 4: Simplify right side
    144,022.80x = 17,674,794,866.16
  5. Step 5: Solve for x
    x = 17,674,794,866.16/144,022.80
  6. Step 6: Final answer
    x = 122,722.20

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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.