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Finding the Fourth Proportional to 109,538.38, 151,164.69 and 61,792.66

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Solution

The fourth proportional to 109,538.38, 151,164.69 and 61,792.66 is: 85,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,538.38 : 151,164.69 = 61,792.66 : x
  2. Step 2: Convert to fraction form
    109,538.38/151,164.69 = 61,792.66/x
  3. Step 3: Cross multiply
    109,538.38x = 151,164.69 × 61,792.66
  4. Step 4: Simplify right side
    109,538.38x = 9,340,868,293.18
  5. Step 5: Solve for x
    x = 9,340,868,293.18/109,538.38
  6. Step 6: Final answer
    x = 85,274.84

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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.