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Finding the Fourth Proportional to 103,161.16, 142,358.34 and 58,449.16

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Solution

The fourth proportional to 103,161.16, 142,358.34 and 58,449.16 is: 80,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,161.16 : 142,358.34 = 58,449.16 : x
  2. Step 2: Convert to fraction form
    103,161.16/142,358.34 = 58,449.16/x
  3. Step 3: Cross multiply
    103,161.16x = 142,358.34 × 58,449.16
  4. Step 4: Simplify right side
    103,161.16x = 8,320,725,391.99
  5. Step 5: Solve for x
    x = 8,320,725,391.99/103,161.16
  6. Step 6: Final answer
    x = 80,657.54

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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.