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Finding the Fourth Proportional to 189,822.50, 284,625.92 and 77,371.01

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Solution

The fourth proportional to 189,822.50, 284,625.92 and 77,371.01 is: 116,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,822.50 : 284,625.92 = 77,371.01 : x
  2. Step 2: Convert to fraction form
    189,822.50/284,625.92 = 77,371.01/x
  3. Step 3: Cross multiply
    189,822.50x = 284,625.92 × 77,371.01
  4. Step 4: Simplify right side
    189,822.50x = 22,021,795,807.57
  5. Step 5: Solve for x
    x = 22,021,795,807.57/189,822.50
  6. Step 6: Final answer
    x = 116,012.57

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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.