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Finding the Fourth Proportional to 107,977.80, 161,893.80 and 57,385.20

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Solution

The fourth proportional to 107,977.80, 161,893.80 and 57,385.20 is: 86,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,977.80 : 161,893.80 = 57,385.20 : x
  2. Step 2: Convert to fraction form
    107,977.80/161,893.80 = 57,385.20/x
  3. Step 3: Cross multiply
    107,977.80x = 161,893.80 × 57,385.20
  4. Step 4: Simplify right side
    107,977.80x = 9,290,308,091.76
  5. Step 5: Solve for x
    x = 9,290,308,091.76/107,977.80
  6. Step 6: Final answer
    x = 86,039.06

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Why These Related Problems?

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