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Finding the Fourth Proportional to 186,396.44, 257,234.36 and 105,831.46

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Solution

The fourth proportional to 186,396.44, 257,234.36 and 105,831.46 is: 146,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,396.44 : 257,234.36 = 105,831.46 : x
  2. Step 2: Convert to fraction form
    186,396.44/257,234.36 = 105,831.46/x
  3. Step 3: Cross multiply
    186,396.44x = 257,234.36 × 105,831.46
  4. Step 4: Simplify right side
    186,396.44x = 27,223,487,880.97
  5. Step 5: Solve for x
    x = 27,223,487,880.97/186,396.44
  6. Step 6: Final answer
    x = 146,051.54

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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.