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Finding the Fourth Proportional to 181,977.60, 251,130.09 and 105,542

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Solution

The fourth proportional to 181,977.60, 251,130.09 and 105,542 is: 145,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,977.60 : 251,130.09 = 105,542 : x
  2. Step 2: Convert to fraction form
    181,977.60/251,130.09 = 105,542/x
  3. Step 3: Cross multiply
    181,977.60x = 251,130.09 × 105,542
  4. Step 4: Simplify right side
    181,977.60x = 26,504,771,958.78
  5. Step 5: Solve for x
    x = 26,504,771,958.78/181,977.60
  6. Step 6: Final answer
    x = 145,648.54

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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.