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Finding the Fourth Proportional to 99,904.69, 137,868.38 and 57,463.22

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Solution

The fourth proportional to 99,904.69, 137,868.38 and 57,463.22 is: 79,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904.69 : 137,868.38 = 57,463.22 : x
  2. Step 2: Convert to fraction form
    99,904.69/137,868.38 = 57,463.22/x
  3. Step 3: Cross multiply
    99,904.69x = 137,868.38 × 57,463.22
  4. Step 4: Simplify right side
    99,904.69x = 7,922,361,323.83
  5. Step 5: Solve for x
    x = 7,922,361,323.83/99,904.69
  6. Step 6: Final answer
    x = 79,299.19

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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.