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Finding the Fourth Proportional to 211,524.18, 291,954.15 and 143,654.28

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Solution

The fourth proportional to 211,524.18, 291,954.15 and 143,654.28 is: 198,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524.18 : 291,954.15 = 143,654.28 : x
  2. Step 2: Convert to fraction form
    211,524.18/291,954.15 = 143,654.28/x
  3. Step 3: Cross multiply
    211,524.18x = 291,954.15 × 143,654.28
  4. Step 4: Simplify right side
    211,524.18x = 41,940,463,211.26
  5. Step 5: Solve for x
    x = 41,940,463,211.26/211,524.18
  6. Step 6: Final answer
    x = 198,277.39

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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.