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Finding the Fourth Proportional to 105,170.92, 145,133.85 and 57,424.60

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Solution

The fourth proportional to 105,170.92, 145,133.85 and 57,424.60 is: 79,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.92 : 145,133.85 = 57,424.60 : x
  2. Step 2: Convert to fraction form
    105,170.92/145,133.85 = 57,424.60/x
  3. Step 3: Cross multiply
    105,170.92x = 145,133.85 × 57,424.60
  4. Step 4: Simplify right side
    105,170.92x = 8,334,253,282.71
  5. Step 5: Solve for x
    x = 8,334,253,282.71/105,170.92
  6. Step 6: Final answer
    x = 79,244.85

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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.