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Finding the Fourth Proportional to 102,523.33, 141,571.19 and 64,349.04

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Solution

The fourth proportional to 102,523.33, 141,571.19 and 64,349.04 is: 88,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523.33 : 141,571.19 = 64,349.04 : x
  2. Step 2: Convert to fraction form
    102,523.33/141,571.19 = 64,349.04/x
  3. Step 3: Cross multiply
    102,523.33x = 141,571.19 × 64,349.04
  4. Step 4: Simplify right side
    102,523.33x = 9,109,970,329.03
  5. Step 5: Solve for x
    x = 9,109,970,329.03/102,523.33
  6. Step 6: Final answer
    x = 88,857.54

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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.