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Finding the Fourth Proportional to 105,170.28, 145,134.90 and 57,423.84

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Solution

The fourth proportional to 105,170.28, 145,134.90 and 57,423.84 is: 79,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.28 : 145,134.90 = 57,423.84 : x
  2. Step 2: Convert to fraction form
    105,170.28/145,134.90 = 57,423.84/x
  3. Step 3: Cross multiply
    105,170.28x = 145,134.90 × 57,423.84
  4. Step 4: Simplify right side
    105,170.28x = 8,334,203,276.02
  5. Step 5: Solve for x
    x = 8,334,203,276.02/105,170.28
  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.