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Finding the Fourth Proportional to 189,504.72, 284,089.76 and 77,278.80

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Solution

The fourth proportional to 189,504.72, 284,089.76 and 77,278.80 is: 115,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,504.72 : 284,089.76 = 77,278.80 : x
  2. Step 2: Convert to fraction form
    189,504.72/284,089.76 = 77,278.80/x
  3. Step 3: Cross multiply
    189,504.72x = 284,089.76 × 77,278.80
  4. Step 4: Simplify right side
    189,504.72x = 21,954,115,745.09
  5. Step 5: Solve for x
    x = 21,954,115,745.09/189,504.72
  6. Step 6: Final answer
    x = 115,849.97

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1.5x scale

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.