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Finding the Fourth Proportional to 157,850.93, 217,831.53 and 86,229.11

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Solution

The fourth proportional to 157,850.93, 217,831.53 and 86,229.11 is: 118,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,850.93 : 217,831.53 = 86,229.11 : x
  2. Step 2: Convert to fraction form
    157,850.93/217,831.53 = 86,229.11/x
  3. Step 3: Cross multiply
    157,850.93x = 217,831.53 × 86,229.11
  4. Step 4: Simplify right side
    157,850.93x = 18,783,417,872.68
  5. Step 5: Solve for x
    x = 18,783,417,872.68/157,850.93
  6. Step 6: Final answer
    x = 118,994.66

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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.