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Finding the Fourth Proportional to 212,782.30, 319,184.39 and 55,012.12

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Solution

The fourth proportional to 212,782.30, 319,184.39 and 55,012.12 is: 82,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,782.30 : 319,184.39 = 55,012.12 : x
  2. Step 2: Convert to fraction form
    212,782.30/319,184.39 = 55,012.12/x
  3. Step 3: Cross multiply
    212,782.30x = 319,184.39 × 55,012.12
  4. Step 4: Simplify right side
    212,782.30x = 17,559,009,304.38
  5. Step 5: Solve for x
    x = 17,559,009,304.38/212,782.30
  6. Step 6: Final answer
    x = 82,521.01

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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.