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Finding the Fourth Proportional to 211,169.80, 291,414.38 and 115,679.92

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Solution

The fourth proportional to 211,169.80, 291,414.38 and 115,679.92 is: 159,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,169.80 : 291,414.38 = 115,679.92 : x
  2. Step 2: Convert to fraction form
    211,169.80/291,414.38 = 115,679.92/x
  3. Step 3: Cross multiply
    211,169.80x = 291,414.38 × 115,679.92
  4. Step 4: Simplify right side
    211,169.80x = 33,710,792,165.25
  5. Step 5: Solve for x
    x = 33,710,792,165.25/211,169.80
  6. Step 6: Final answer
    x = 159,638.32

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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.