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Finding the Fourth Proportional to 151,991.82, 209,749.54 and 83,081.38

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Solution

The fourth proportional to 151,991.82, 209,749.54 and 83,081.38 is: 114,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,991.82 : 209,749.54 = 83,081.38 : x
  2. Step 2: Convert to fraction form
    151,991.82/209,749.54 = 83,081.38/x
  3. Step 3: Cross multiply
    151,991.82x = 209,749.54 × 83,081.38
  4. Step 4: Simplify right side
    151,991.82x = 17,426,281,603.60
  5. Step 5: Solve for x
    x = 17,426,281,603.60/151,991.82
  6. Step 6: Final answer
    x = 114,652.76

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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.