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Finding the Fourth Proportional to 105,233.65, 157,850.67 and 35,113.16

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Solution

The fourth proportional to 105,233.65, 157,850.67 and 35,113.16 is: 52,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,233.65 : 157,850.67 = 35,113.16 : x
  2. Step 2: Convert to fraction form
    105,233.65/157,850.67 = 35,113.16/x
  3. Step 3: Cross multiply
    105,233.65x = 157,850.67 × 35,113.16
  4. Step 4: Simplify right side
    105,233.65x = 5,542,635,831.82
  5. Step 5: Solve for x
    x = 5,542,635,831.82/105,233.65
  6. Step 6: Final answer
    x = 52,669.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.