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Finding the Fourth Proportional to 123,977.08, 186,044.82 and 45,083.80

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Solution

The fourth proportional to 123,977.08, 186,044.82 and 45,083.80 is: 67,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,977.08 : 186,044.82 = 45,083.80 : x
  2. Step 2: Convert to fraction form
    123,977.08/186,044.82 = 45,083.80/x
  3. Step 3: Cross multiply
    123,977.08x = 186,044.82 × 45,083.80
  4. Step 4: Simplify right side
    123,977.08x = 8,387,607,455.92
  5. Step 5: Solve for x
    x = 8,387,607,455.92/123,977.08
  6. Step 6: Final answer
    x = 67,654.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.