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Finding the Fourth Proportional to 217,005.90, 325,314.45 and 142,161.90

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Solution

The fourth proportional to 217,005.90, 325,314.45 and 142,161.90 is: 213,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,005.90 : 325,314.45 = 142,161.90 : x
  2. Step 2: Convert to fraction form
    217,005.90/325,314.45 = 142,161.90/x
  3. Step 3: Cross multiply
    217,005.90x = 325,314.45 × 142,161.90
  4. Step 4: Simplify right side
    217,005.90x = 46,247,320,309.46
  5. Step 5: Solve for x
    x = 46,247,320,309.46/217,005.90
  6. Step 6: Final answer
    x = 213,115.50

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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.