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Finding the Fourth Proportional to 189,520.76, 284,280.50 and 77,175.99

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Solution

The fourth proportional to 189,520.76, 284,280.50 and 77,175.99 is: 115,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,520.76 : 284,280.50 = 77,175.99 : x
  2. Step 2: Convert to fraction form
    189,520.76/284,280.50 = 77,175.99/x
  3. Step 3: Cross multiply
    189,520.76x = 284,280.50 × 77,175.99
  4. Step 4: Simplify right side
    189,520.76x = 21,939,629,218.14
  5. Step 5: Solve for x
    x = 21,939,629,218.14/189,520.76
  6. Step 6: Final answer
    x = 115,763.72

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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.