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Finding the Fourth Proportional to 212,717.99, 319,052.28 and 54,934.04

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Solution

The fourth proportional to 212,717.99, 319,052.28 and 54,934.04 is: 82,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,717.99 : 319,052.28 = 54,934.04 : x
  2. Step 2: Convert to fraction form
    212,717.99/319,052.28 = 54,934.04/x
  3. Step 3: Cross multiply
    212,717.99x = 319,052.28 × 54,934.04
  4. Step 4: Simplify right side
    212,717.99x = 17,526,830,711.61
  5. Step 5: Solve for x
    x = 17,526,830,711.61/212,717.99
  6. Step 6: Final answer
    x = 82,394.68

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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.