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Finding the Fourth Proportional to 140,571.32, 194,051.76 and 89,652.38

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Solution

The fourth proportional to 140,571.32, 194,051.76 and 89,652.38 is: 123,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,571.32 : 194,051.76 = 89,652.38 : x
  2. Step 2: Convert to fraction form
    140,571.32/194,051.76 = 89,652.38/x
  3. Step 3: Cross multiply
    140,571.32x = 194,051.76 × 89,652.38
  4. Step 4: Simplify right side
    140,571.32x = 17,397,202,127.19
  5. Step 5: Solve for x
    x = 17,397,202,127.19/140,571.32
  6. Step 6: Final answer
    x = 123,760.68

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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.