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Finding the Fourth Proportional to 99,138.94, 136,814.23 and 53,816.94

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Solution

The fourth proportional to 99,138.94, 136,814.23 and 53,816.94 is: 74,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,138.94 : 136,814.23 = 53,816.94 : x
  2. Step 2: Convert to fraction form
    99,138.94/136,814.23 = 53,816.94/x
  3. Step 3: Cross multiply
    99,138.94x = 136,814.23 × 53,816.94
  4. Step 4: Simplify right side
    99,138.94x = 7,362,923,207.06
  5. Step 5: Solve for x
    x = 7,362,923,207.06/99,138.94
  6. Step 6: Final answer
    x = 74,268.73

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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.