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Finding the Fourth Proportional to 99,833.01, 137,768.49 and 54,510.85

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Solution

The fourth proportional to 99,833.01, 137,768.49 and 54,510.85 is: 75,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833.01 : 137,768.49 = 54,510.85 : x
  2. Step 2: Convert to fraction form
    99,833.01/137,768.49 = 54,510.85/x
  3. Step 3: Cross multiply
    99,833.01x = 137,768.49 × 54,510.85
  4. Step 4: Simplify right side
    99,833.01x = 7,509,877,493.12
  5. Step 5: Solve for x
    x = 7,509,877,493.12/99,833.01
  6. Step 6: Final answer
    x = 75,224.39

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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.