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Finding the Fourth Proportional to 120,980.80, 181,255.20 and 58,513.60

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Solution

The fourth proportional to 120,980.80, 181,255.20 and 58,513.60 is: 87,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.80 : 181,255.20 = 58,513.60 : x
  2. Step 2: Convert to fraction form
    120,980.80/181,255.20 = 58,513.60/x
  3. Step 3: Cross multiply
    120,980.80x = 181,255.20 × 58,513.60
  4. Step 4: Simplify right side
    120,980.80x = 10,605,894,270.72
  5. Step 5: Solve for x
    x = 10,605,894,270.72/120,980.80
  6. Step 6: Final answer
    x = 87,665.93

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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.