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Finding the Fourth Proportional to 226,259.50, 311,982.22 and 144,480.22

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Solution

The fourth proportional to 226,259.50, 311,982.22 and 144,480.22 is: 199,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,259.50 : 311,982.22 = 144,480.22 : x
  2. Step 2: Convert to fraction form
    226,259.50/311,982.22 = 144,480.22/x
  3. Step 3: Cross multiply
    226,259.50x = 311,982.22 × 144,480.22
  4. Step 4: Simplify right side
    226,259.50x = 45,075,259,781.69
  5. Step 5: Solve for x
    x = 45,075,259,781.69/226,259.50
  6. Step 6: Final answer
    x = 199,219.30

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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.