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Finding the Fourth Proportional to 193,574.52, 290,248.74 and 75,107.50

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Solution

The fourth proportional to 193,574.52, 290,248.74 and 75,107.50 is: 112,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,574.52 : 290,248.74 = 75,107.50 : x
  2. Step 2: Convert to fraction form
    193,574.52/290,248.74 = 75,107.50/x
  3. Step 3: Cross multiply
    193,574.52x = 290,248.74 × 75,107.50
  4. Step 4: Simplify right side
    193,574.52x = 21,799,857,239.55
  5. Step 5: Solve for x
    x = 21,799,857,239.55/193,574.52
  6. Step 6: Final answer
    x = 112,617.39

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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.