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Finding the Fourth Proportional to 189,509.78, 284,262.21 and 54,577.14

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Solution

The fourth proportional to 189,509.78, 284,262.21 and 54,577.14 is: 81,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,509.78 : 284,262.21 = 54,577.14 : x
  2. Step 2: Convert to fraction form
    189,509.78/284,262.21 = 54,577.14/x
  3. Step 3: Cross multiply
    189,509.78x = 284,262.21 × 54,577.14
  4. Step 4: Simplify right side
    189,509.78x = 15,514,218,431.88
  5. Step 5: Solve for x
    x = 15,514,218,431.88/189,509.78
  6. Step 6: Final answer
    x = 81,865.00

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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.