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Finding the Fourth Proportional to 101,294.38, 152,036.90 and 51,410.27

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Solution

The fourth proportional to 101,294.38, 152,036.90 and 51,410.27 is: 77,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,294.38 : 152,036.90 = 51,410.27 : x
  2. Step 2: Convert to fraction form
    101,294.38/152,036.90 = 51,410.27/x
  3. Step 3: Cross multiply
    101,294.38x = 152,036.90 × 51,410.27
  4. Step 4: Simplify right side
    101,294.38x = 7,816,258,969.04
  5. Step 5: Solve for x
    x = 7,816,258,969.04/101,294.38
  6. Step 6: Final answer
    x = 77,163.80

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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.