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Finding the Fourth Proportional to 189,211.29, 283,712.28 and 75,243.69

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Solution

The fourth proportional to 189,211.29, 283,712.28 and 75,243.69 is: 112,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.29 : 283,712.28 = 75,243.69 : x
  2. Step 2: Convert to fraction form
    189,211.29/283,712.28 = 75,243.69/x
  3. Step 3: Cross multiply
    189,211.29x = 283,712.28 × 75,243.69
  4. Step 4: Simplify right side
    189,211.29x = 21,347,558,845.51
  5. Step 5: Solve for x
    x = 21,347,558,845.51/189,211.29
  6. Step 6: Final answer
    x = 112,823.92

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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.