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Finding the Fourth Proportional to 149,270.94, 205,776.27 and 113,398.68

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Solution

The fourth proportional to 149,270.94, 205,776.27 and 113,398.68 is: 156,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,270.94 : 205,776.27 = 113,398.68 : x
  2. Step 2: Convert to fraction form
    149,270.94/205,776.27 = 113,398.68/x
  3. Step 3: Cross multiply
    149,270.94x = 205,776.27 × 113,398.68
  4. Step 4: Simplify right side
    149,270.94x = 23,334,757,393.32
  5. Step 5: Solve for x
    x = 23,334,757,393.32/149,270.94
  6. Step 6: Final answer
    x = 156,324.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.