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Finding the Fourth Proportional to 189,445.65, 284,166 and 54,513.24

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Solution

The fourth proportional to 189,445.65, 284,166 and 54,513.24 is: 81,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,445.65 : 284,166 = 54,513.24 : x
  2. Step 2: Convert to fraction form
    189,445.65/284,166 = 54,513.24/x
  3. Step 3: Cross multiply
    189,445.65x = 284,166 × 54,513.24
  4. Step 4: Simplify right side
    189,445.65x = 15,490,809,357.84
  5. Step 5: Solve for x
    x = 15,490,809,357.84/189,445.65
  6. Step 6: Final answer
    x = 81,769.15

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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.