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Finding the Fourth Proportional to 211,544.16, 317,317.23 and 71,304

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Solution

The fourth proportional to 211,544.16, 317,317.23 and 71,304 is: 106,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,544.16 : 317,317.23 = 71,304 : x
  2. Step 2: Convert to fraction form
    211,544.16/317,317.23 = 71,304/x
  3. Step 3: Cross multiply
    211,544.16x = 317,317.23 × 71,304
  4. Step 4: Simplify right side
    211,544.16x = 22,625,987,767.92
  5. Step 5: Solve for x
    x = 22,625,987,767.92/211,544.16
  6. Step 6: Final answer
    x = 106,956.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.