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Finding the Fourth Proportional to 99,174.16, 136,860.24 and 54,462.16

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Solution

The fourth proportional to 99,174.16, 136,860.24 and 54,462.16 is: 75,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,174.16 : 136,860.24 = 54,462.16 : x
  2. Step 2: Convert to fraction form
    99,174.16/136,860.24 = 54,462.16/x
  3. Step 3: Cross multiply
    99,174.16x = 136,860.24 × 54,462.16
  4. Step 4: Simplify right side
    99,174.16x = 7,453,704,288.52
  5. Step 5: Solve for x
    x = 7,453,704,288.52/99,174.16
  6. Step 6: Final answer
    x = 75,157.73

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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.