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Finding the Fourth Proportional to 105,831.38, 146,036.67 and 63,388.82

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Solution

The fourth proportional to 105,831.38, 146,036.67 and 63,388.82 is: 87,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,831.38 : 146,036.67 = 63,388.82 : x
  2. Step 2: Convert to fraction form
    105,831.38/146,036.67 = 63,388.82/x
  3. Step 3: Cross multiply
    105,831.38x = 146,036.67 × 63,388.82
  4. Step 4: Simplify right side
    105,831.38x = 9,257,092,188.03
  5. Step 5: Solve for x
    x = 9,257,092,188.03/105,831.38
  6. Step 6: Final answer
    x = 87,470.20

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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.