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Finding the Fourth Proportional to 105,120.54, 145,066.86 and 57,375

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Solution

The fourth proportional to 105,120.54, 145,066.86 and 57,375 is: 79,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,120.54 : 145,066.86 = 57,375 : x
  2. Step 2: Convert to fraction form
    105,120.54/145,066.86 = 57,375/x
  3. Step 3: Cross multiply
    105,120.54x = 145,066.86 × 57,375
  4. Step 4: Simplify right side
    105,120.54x = 8,323,211,092.50
  5. Step 5: Solve for x
    x = 8,323,211,092.50/105,120.54
  6. Step 6: Final answer
    x = 79,177.78

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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.