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Finding the Fourth Proportional to 186,351.36, 257,222.91 and 105,832.50

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Solution

The fourth proportional to 186,351.36, 257,222.91 and 105,832.50 is: 146,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,351.36 : 257,222.91 = 105,832.50 : x
  2. Step 2: Convert to fraction form
    186,351.36/257,222.91 = 105,832.50/x
  3. Step 3: Cross multiply
    186,351.36x = 257,222.91 × 105,832.50
  4. Step 4: Simplify right side
    186,351.36x = 27,222,543,622.58
  5. Step 5: Solve for x
    x = 27,222,543,622.58/186,351.36
  6. Step 6: Final answer
    x = 146,081.81

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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.