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Finding the Fourth Proportional to 103,057.26, 142,219.02 and 58,345.26

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Solution

The fourth proportional to 103,057.26, 142,219.02 and 58,345.26 is: 80,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,057.26 : 142,219.02 = 58,345.26 : x
  2. Step 2: Convert to fraction form
    103,057.26/142,219.02 = 58,345.26/x
  3. Step 3: Cross multiply
    103,057.26x = 142,219.02 × 58,345.26
  4. Step 4: Simplify right side
    103,057.26x = 8,297,805,698.85
  5. Step 5: Solve for x
    x = 8,297,805,698.85/103,057.26
  6. Step 6: Final answer
    x = 80,516.46

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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.