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Finding the Fourth Proportional to 135,058.16, 186,439 and 92,834.48

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Solution

The fourth proportional to 135,058.16, 186,439 and 92,834.48 is: 128,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,058.16 : 186,439 = 92,834.48 : x
  2. Step 2: Convert to fraction form
    135,058.16/186,439 = 92,834.48/x
  3. Step 3: Cross multiply
    135,058.16x = 186,439 × 92,834.48
  4. Step 4: Simplify right side
    135,058.16x = 17,307,967,616.72
  5. Step 5: Solve for x
    x = 17,307,967,616.72/135,058.16
  6. Step 6: Final answer
    x = 128,151.96

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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.