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Finding the Fourth Proportional to 150,643.90, 225,960.04 and 45,460

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Solution

The fourth proportional to 150,643.90, 225,960.04 and 45,460 is: 68,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.90 : 225,960.04 = 45,460 : x
  2. Step 2: Convert to fraction form
    150,643.90/225,960.04 = 45,460/x
  3. Step 3: Cross multiply
    150,643.90x = 225,960.04 × 45,460
  4. Step 4: Simplify right side
    150,643.90x = 10,272,143,418.40
  5. Step 5: Solve for x
    x = 10,272,143,418.40/150,643.90
  6. Step 6: Final answer
    x = 68,188.25

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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.