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Finding the Fourth Proportional to 193,657.18, 290,500.26 and 53,414.50

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Solution

The fourth proportional to 193,657.18, 290,500.26 and 53,414.50 is: 80,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,657.18 : 290,500.26 = 53,414.50 : x
  2. Step 2: Convert to fraction form
    193,657.18/290,500.26 = 53,414.50/x
  3. Step 3: Cross multiply
    193,657.18x = 290,500.26 × 53,414.50
  4. Step 4: Simplify right side
    193,657.18x = 15,516,926,137.77
  5. Step 5: Solve for x
    x = 15,516,926,137.77/193,657.18
  6. Step 6: Final answer
    x = 80,125.75

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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.