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Finding the Fourth Proportional to 103,046.63, 142,204.34 and 58,334.63

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Solution

The fourth proportional to 103,046.63, 142,204.34 and 58,334.63 is: 80,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046.63 : 142,204.34 = 58,334.63 : x
  2. Step 2: Convert to fraction form
    103,046.63/142,204.34 = 58,334.63/x
  3. Step 3: Cross multiply
    103,046.63x = 142,204.34 × 58,334.63
  4. Step 4: Simplify right side
    103,046.63x = 8,295,436,993.11
  5. Step 5: Solve for x
    x = 8,295,436,993.11/103,046.63
  6. Step 6: Final answer
    x = 80,501.78

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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.