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Finding the Fourth Proportional to 189,828.92, 284,774.16 and 71,510.60

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Solution

The fourth proportional to 189,828.92, 284,774.16 and 71,510.60 is: 107,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828.92 : 284,774.16 = 71,510.60 : x
  2. Step 2: Convert to fraction form
    189,828.92/284,774.16 = 71,510.60/x
  3. Step 3: Cross multiply
    189,828.92x = 284,774.16 × 71,510.60
  4. Step 4: Simplify right side
    189,828.92x = 20,364,371,046.10
  5. Step 5: Solve for x
    x = 20,364,371,046.10/189,828.92
  6. Step 6: Final answer
    x = 107,277.50

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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.