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Finding the Fourth Proportional to 212,716.99, 319,050.78 and 54,933.04

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Solution

The fourth proportional to 212,716.99, 319,050.78 and 54,933.04 is: 82,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716.99 : 319,050.78 = 54,933.04 : x
  2. Step 2: Convert to fraction form
    212,716.99/319,050.78 = 54,933.04/x
  3. Step 3: Cross multiply
    212,716.99x = 319,050.78 × 54,933.04
  4. Step 4: Simplify right side
    212,716.99x = 17,526,429,259.77
  5. Step 5: Solve for x
    x = 17,526,429,259.77/212,716.99
  6. Step 6: Final answer
    x = 82,393.18

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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.