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Finding the Fourth Proportional to 105,139.50, 145,105.88 and 69,403.92

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Solution

The fourth proportional to 105,139.50, 145,105.88 and 69,403.92 is: 95,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,139.50 : 145,105.88 = 69,403.92 : x
  2. Step 2: Convert to fraction form
    105,139.50/145,105.88 = 69,403.92/x
  3. Step 3: Cross multiply
    105,139.50x = 145,105.88 × 69,403.92
  4. Step 4: Simplify right side
    105,139.50x = 10,070,916,540.03
  5. Step 5: Solve for x
    x = 10,070,916,540.03/105,139.50
  6. Step 6: Final answer
    x = 95,786.23

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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.