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Finding the Fourth Proportional to 189,034.65, 283,551.98 and 55,904.54

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Solution

The fourth proportional to 189,034.65, 283,551.98 and 55,904.54 is: 83,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,034.65 : 283,551.98 = 55,904.54 : x
  2. Step 2: Convert to fraction form
    189,034.65/283,551.98 = 55,904.54/x
  3. Step 3: Cross multiply
    189,034.65x = 283,551.98 × 55,904.54
  4. Step 4: Simplify right side
    189,034.65x = 15,851,843,540.28
  5. Step 5: Solve for x
    x = 15,851,843,540.28/189,034.65
  6. Step 6: Final answer
    x = 83,856.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.