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Finding the Fourth Proportional to 105,170.94, 145,139.34 and 57,427.92

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Solution

The fourth proportional to 105,170.94, 145,139.34 and 57,427.92 is: 79,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.94 : 145,139.34 = 57,427.92 : x
  2. Step 2: Convert to fraction form
    105,170.94/145,139.34 = 57,427.92/x
  3. Step 3: Cross multiply
    105,170.94x = 145,139.34 × 57,427.92
  4. Step 4: Simplify right side
    105,170.94x = 8,335,050,406.37
  5. Step 5: Solve for x
    x = 8,335,050,406.37/105,170.94
  6. Step 6: Final answer
    x = 79,252.41

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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.