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Finding the Fourth Proportional to 186,704.79, 257,642.37 and 106,121.13

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Solution

The fourth proportional to 186,704.79, 257,642.37 and 106,121.13 is: 146,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,704.79 : 257,642.37 = 106,121.13 : x
  2. Step 2: Convert to fraction form
    186,704.79/257,642.37 = 106,121.13/x
  3. Step 3: Cross multiply
    186,704.79x = 257,642.37 × 106,121.13
  4. Step 4: Simplify right side
    186,704.79x = 27,341,299,440.28
  5. Step 5: Solve for x
    x = 27,341,299,440.28/186,704.79
  6. Step 6: Final answer
    x = 146,441.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.