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Finding the Fourth Proportional to 161,632.59, 222,938.27 and 137,265.32

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Solution

The fourth proportional to 161,632.59, 222,938.27 and 137,265.32 is: 189,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,632.59 : 222,938.27 = 137,265.32 : x
  2. Step 2: Convert to fraction form
    161,632.59/222,938.27 = 137,265.32/x
  3. Step 3: Cross multiply
    161,632.59x = 222,938.27 × 137,265.32
  4. Step 4: Simplify right side
    161,632.59x = 30,601,691,170.78
  5. Step 5: Solve for x
    x = 30,601,691,170.78/161,632.59
  6. Step 6: Final answer
    x = 189,328.72

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Why These Related Problems?

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