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Finding the Fourth Proportional to 146,831.50, 202,610.28 and 86,388.85

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Solution

The fourth proportional to 146,831.50, 202,610.28 and 86,388.85 is: 119,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,831.50 : 202,610.28 = 86,388.85 : x
  2. Step 2: Convert to fraction form
    146,831.50/202,610.28 = 86,388.85/x
  3. Step 3: Cross multiply
    146,831.50x = 202,610.28 × 86,388.85
  4. Step 4: Simplify right side
    146,831.50x = 17,503,269,087.38
  5. Step 5: Solve for x
    x = 17,503,269,087.38/146,831.50
  6. Step 6: Final answer
    x = 119,206.50

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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.