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Finding the Fourth Proportional to 102,546.96, 141,514.53 and 57,224.46

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Solution

The fourth proportional to 102,546.96, 141,514.53 and 57,224.46 is: 78,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.96 : 141,514.53 = 57,224.46 : x
  2. Step 2: Convert to fraction form
    102,546.96/141,514.53 = 57,224.46/x
  3. Step 3: Cross multiply
    102,546.96x = 141,514.53 × 57,224.46
  4. Step 4: Simplify right side
    102,546.96x = 8,098,092,030.72
  5. Step 5: Solve for x
    x = 8,098,092,030.72/102,546.96
  6. Step 6: Final answer
    x = 78,969.60

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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.