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Finding the Fourth Proportional to 186,350.86, 257,222.22 and 105,832

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Solution

The fourth proportional to 186,350.86, 257,222.22 and 105,832 is: 146,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,350.86 : 257,222.22 = 105,832 : x
  2. Step 2: Convert to fraction form
    186,350.86/257,222.22 = 105,832/x
  3. Step 3: Cross multiply
    186,350.86x = 257,222.22 × 105,832
  4. Step 4: Simplify right side
    186,350.86x = 27,222,341,987.04
  5. Step 5: Solve for x
    x = 27,222,341,987.04/186,350.86
  6. Step 6: Final answer
    x = 146,081.12

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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.