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Finding the Fourth Proportional to 189,199.73, 283,854.96 and 61,113.11

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Solution

The fourth proportional to 189,199.73, 283,854.96 and 61,113.11 is: 91,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,199.73 : 283,854.96 = 61,113.11 : x
  2. Step 2: Convert to fraction form
    189,199.73/283,854.96 = 61,113.11/x
  3. Step 3: Cross multiply
    189,199.73x = 283,854.96 × 61,113.11
  4. Step 4: Simplify right side
    189,199.73x = 17,347,257,975.25
  5. Step 5: Solve for x
    x = 17,347,257,975.25/189,199.73
  6. Step 6: Final answer
    x = 91,687.54

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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.