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Finding the Fourth Proportional to 189,616.33, 284,441.51 and 49,376.17

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Solution

The fourth proportional to 189,616.33, 284,441.51 and 49,376.17 is: 74,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,616.33 : 284,441.51 = 49,376.17 : x
  2. Step 2: Convert to fraction form
    189,616.33/284,441.51 = 49,376.17/x
  3. Step 3: Cross multiply
    189,616.33x = 284,441.51 × 49,376.17
  4. Step 4: Simplify right side
    189,616.33x = 14,044,632,352.82
  5. Step 5: Solve for x
    x = 14,044,632,352.82/189,616.33
  6. Step 6: Final answer
    x = 74,068.69

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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.