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Finding the Fourth Proportional to 322,105.74, 483,061.41 and 135,075.66

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Solution

The fourth proportional to 322,105.74, 483,061.41 and 135,075.66 is: 202,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,105.74 : 483,061.41 = 135,075.66 : x
  2. Step 2: Convert to fraction form
    322,105.74/483,061.41 = 135,075.66/x
  3. Step 3: Cross multiply
    322,105.74x = 483,061.41 × 135,075.66
  4. Step 4: Simplify right side
    322,105.74x = 65,249,838,776.28
  5. Step 5: Solve for x
    x = 65,249,838,776.28/322,105.74
  6. Step 6: Final answer
    x = 202,572.73

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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.