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Finding the Fourth Proportional to 322,211.82, 483,051.62 and 142,169.06

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Solution

The fourth proportional to 322,211.82, 483,051.62 and 142,169.06 is: 213,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,211.82 : 483,051.62 = 142,169.06 : x
  2. Step 2: Convert to fraction form
    322,211.82/483,051.62 = 142,169.06/x
  3. Step 3: Cross multiply
    322,211.82x = 483,051.62 × 142,169.06
  4. Step 4: Simplify right side
    322,211.82x = 68,674,994,746.88
  5. Step 5: Solve for x
    x = 68,674,994,746.88/322,211.82
  6. Step 6: Final answer
    x = 213,136.17

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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.