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Finding the Fourth Proportional to 193,537.20, 290,248.20 and 75,140.40

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Solution

The fourth proportional to 193,537.20, 290,248.20 and 75,140.40 is: 112,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,537.20 : 290,248.20 = 75,140.40 : x
  2. Step 2: Convert to fraction form
    193,537.20/290,248.20 = 75,140.40/x
  3. Step 3: Cross multiply
    193,537.20x = 290,248.20 × 75,140.40
  4. Step 4: Simplify right side
    193,537.20x = 21,809,365,847.28
  5. Step 5: Solve for x
    x = 21,809,365,847.28/193,537.20
  6. Step 6: Final answer
    x = 112,688.24

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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.