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Finding the Fourth Proportional to 189,928.46, 284,787.50 and 77,687.48

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Solution

The fourth proportional to 189,928.46, 284,787.50 and 77,687.48 is: 116,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,928.46 : 284,787.50 = 77,687.48 : x
  2. Step 2: Convert to fraction form
    189,928.46/284,787.50 = 77,687.48/x
  3. Step 3: Cross multiply
    189,928.46x = 284,787.50 × 77,687.48
  4. Step 4: Simplify right side
    189,928.46x = 22,124,421,398.13
  5. Step 5: Solve for x
    x = 22,124,421,398.13/189,928.46
  6. Step 6: Final answer
    x = 116,488.19

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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.