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Finding the Fourth Proportional to 193,943.16, 290,943.90 and 69,255

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Solution

The fourth proportional to 193,943.16, 290,943.90 and 69,255 is: 103,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,943.16 : 290,943.90 = 69,255 : x
  2. Step 2: Convert to fraction form
    193,943.16/290,943.90 = 69,255/x
  3. Step 3: Cross multiply
    193,943.16x = 290,943.90 × 69,255
  4. Step 4: Simplify right side
    193,943.16x = 20,149,319,794.50
  5. Step 5: Solve for x
    x = 20,149,319,794.50/193,943.16
  6. Step 6: Final answer
    x = 103,892.91

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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.