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Finding the Fourth Proportional to 151,236.74, 208,707.43 and 83,260.54

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Solution

The fourth proportional to 151,236.74, 208,707.43 and 83,260.54 is: 114,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,236.74 : 208,707.43 = 83,260.54 : x
  2. Step 2: Convert to fraction form
    151,236.74/208,707.43 = 83,260.54/x
  3. Step 3: Cross multiply
    151,236.74x = 208,707.43 × 83,260.54
  4. Step 4: Simplify right side
    151,236.74x = 17,377,093,323.81
  5. Step 5: Solve for x
    x = 17,377,093,323.81/151,236.74
  6. Step 6: Final answer
    x = 114,899.95

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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.