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Finding the Fourth Proportional to 193,532.28, 290,316.78 and 75,212.76

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Solution

The fourth proportional to 193,532.28, 290,316.78 and 75,212.76 is: 112,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,532.28 : 290,316.78 = 75,212.76 : x
  2. Step 2: Convert to fraction form
    193,532.28/290,316.78 = 75,212.76/x
  3. Step 3: Cross multiply
    193,532.28x = 290,316.78 × 75,212.76
  4. Step 4: Simplify right side
    193,532.28x = 21,835,526,298.11
  5. Step 5: Solve for x
    x = 21,835,526,298.11/193,532.28
  6. Step 6: Final answer
    x = 112,826.28

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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.