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Finding the Fourth Proportional to 118,842.26, 178,224.50 and 55,642.82

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Solution

The fourth proportional to 118,842.26, 178,224.50 and 55,642.82 is: 83,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,842.26 : 178,224.50 = 55,642.82 : x
  2. Step 2: Convert to fraction form
    118,842.26/178,224.50 = 55,642.82/x
  3. Step 3: Cross multiply
    118,842.26x = 178,224.50 × 55,642.82
  4. Step 4: Simplify right side
    118,842.26x = 9,916,913,021.07
  5. Step 5: Solve for x
    x = 9,916,913,021.07/118,842.26
  6. Step 6: Final answer
    x = 83,446.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.