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Finding the Fourth Proportional to 189,478.56, 284,211.36 and 49,238.40

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Solution

The fourth proportional to 189,478.56, 284,211.36 and 49,238.40 is: 73,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,478.56 : 284,211.36 = 49,238.40 : x
  2. Step 2: Convert to fraction form
    189,478.56/284,211.36 = 49,238.40/x
  3. Step 3: Cross multiply
    189,478.56x = 284,211.36 × 49,238.40
  4. Step 4: Simplify right side
    189,478.56x = 13,994,112,628.22
  5. Step 5: Solve for x
    x = 13,994,112,628.22/189,478.56
  6. Step 6: Final answer
    x = 73,855.92

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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.