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Finding the Fourth Proportional to 189,618.77, 284,349.03 and 77,222.46

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Solution

The fourth proportional to 189,618.77, 284,349.03 and 77,222.46 is: 115,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,618.77 : 284,349.03 = 77,222.46 : x
  2. Step 2: Convert to fraction form
    189,618.77/284,349.03 = 77,222.46/x
  3. Step 3: Cross multiply
    189,618.77x = 284,349.03 × 77,222.46
  4. Step 4: Simplify right side
    189,618.77x = 21,958,132,806.31
  5. Step 5: Solve for x
    x = 21,958,132,806.31/189,618.77
  6. Step 6: Final answer
    x = 115,801.47

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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.