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Finding the Fourth Proportional to 151,993.99, 209,733.53 and 84,001.76

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Solution

The fourth proportional to 151,993.99, 209,733.53 and 84,001.76 is: 115,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,993.99 : 209,733.53 = 84,001.76 : x
  2. Step 2: Convert to fraction form
    151,993.99/209,733.53 = 84,001.76/x
  3. Step 3: Cross multiply
    151,993.99x = 209,733.53 × 84,001.76
  4. Step 4: Simplify right side
    151,993.99x = 17,617,985,205.09
  5. Step 5: Solve for x
    x = 17,617,985,205.09/151,993.99
  6. Step 6: Final answer
    x = 115,912.38

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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.