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Finding the Fourth Proportional to 114,313.82, 157,738.13 and 65,917.53

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Solution

The fourth proportional to 114,313.82, 157,738.13 and 65,917.53 is: 90,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,313.82 : 157,738.13 = 65,917.53 : x
  2. Step 2: Convert to fraction form
    114,313.82/157,738.13 = 65,917.53/x
  3. Step 3: Cross multiply
    114,313.82x = 157,738.13 × 65,917.53
  4. Step 4: Simplify right side
    114,313.82x = 10,397,707,586.83
  5. Step 5: Solve for x
    x = 10,397,707,586.83/114,313.82
  6. Step 6: Final answer
    x = 90,957.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.