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Finding the Fourth Proportional to 113,912.87, 157,213.31 and 83,708.51

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Solution

The fourth proportional to 113,912.87, 157,213.31 and 83,708.51 is: 115,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,912.87 : 157,213.31 = 83,708.51 : x
  2. Step 2: Convert to fraction form
    113,912.87/157,213.31 = 83,708.51/x
  3. Step 3: Cross multiply
    113,912.87x = 157,213.31 × 83,708.51
  4. Step 4: Simplify right side
    113,912.87x = 13,160,090,727.66
  5. Step 5: Solve for x
    x = 13,160,090,727.66/113,912.87
  6. Step 6: Final answer
    x = 115,527.70

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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.