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Finding the Fourth Proportional to 322,209.81, 483,048.63 and 142,167.06

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Solution

The fourth proportional to 322,209.81, 483,048.63 and 142,167.06 is: 213,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,209.81 : 483,048.63 = 142,167.06 : x
  2. Step 2: Convert to fraction form
    322,209.81/483,048.63 = 142,167.06/x
  3. Step 3: Cross multiply
    322,209.81x = 483,048.63 × 142,167.06
  4. Step 4: Simplify right side
    322,209.81x = 68,673,603,564.13
  5. Step 5: Solve for x
    x = 68,673,603,564.13/322,209.81
  6. Step 6: Final answer
    x = 213,133.19

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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.