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Finding the Fourth Proportional to 151,170.92, 208,617.76 and 83,195.72

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Solution

The fourth proportional to 151,170.92, 208,617.76 and 83,195.72 is: 114,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,170.92 : 208,617.76 = 83,195.72 : x
  2. Step 2: Convert to fraction form
    151,170.92/208,617.76 = 83,195.72/x
  3. Step 3: Cross multiply
    151,170.92x = 208,617.76 × 83,195.72
  4. Step 4: Simplify right side
    151,170.92x = 17,356,104,747.99
  5. Step 5: Solve for x
    x = 17,356,104,747.99/151,170.92
  6. Step 6: Final answer
    x = 114,811.13

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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.