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Finding the Fourth Proportional to 161,192.80, 241,731.60 and 56,015.20

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Solution

The fourth proportional to 161,192.80, 241,731.60 and 56,015.20 is: 84,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,192.80 : 241,731.60 = 56,015.20 : x
  2. Step 2: Convert to fraction form
    161,192.80/241,731.60 = 56,015.20/x
  3. Step 3: Cross multiply
    161,192.80x = 241,731.60 × 56,015.20
  4. Step 4: Simplify right side
    161,192.80x = 13,540,643,920.32
  5. Step 5: Solve for x
    x = 13,540,643,920.32/161,192.80
  6. Step 6: Final answer
    x = 84,002.78

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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.