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Finding the Fourth Proportional to 212,776.08, 319,139.28 and 54,992.16

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Solution

The fourth proportional to 212,776.08, 319,139.28 and 54,992.16 is: 82,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,776.08 : 319,139.28 = 54,992.16 : x
  2. Step 2: Convert to fraction form
    212,776.08/319,139.28 = 54,992.16/x
  3. Step 3: Cross multiply
    212,776.08x = 319,139.28 × 54,992.16
  4. Step 4: Simplify right side
    212,776.08x = 17,550,158,348.04
  5. Step 5: Solve for x
    x = 17,550,158,348.04/212,776.08
  6. Step 6: Final answer
    x = 82,481.82

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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.