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Finding the Fourth Proportional to 100,804.91, 151,133.24 and 34,227.16

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Solution

The fourth proportional to 100,804.91, 151,133.24 and 34,227.16 is: 51,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,804.91 : 151,133.24 = 34,227.16 : x
  2. Step 2: Convert to fraction form
    100,804.91/151,133.24 = 34,227.16/x
  3. Step 3: Cross multiply
    100,804.91x = 151,133.24 × 34,227.16
  4. Step 4: Simplify right side
    100,804.91x = 5,172,861,294.53
  5. Step 5: Solve for x
    x = 5,172,861,294.53/100,804.91
  6. Step 6: Final answer
    x = 51,315.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.