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Finding the Fourth Proportional to 120,851.20, 181,276.80 and 41,957.20

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Solution

The fourth proportional to 120,851.20, 181,276.80 and 41,957.20 is: 62,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,851.20 : 181,276.80 = 41,957.20 : x
  2. Step 2: Convert to fraction form
    120,851.20/181,276.80 = 41,957.20/x
  3. Step 3: Cross multiply
    120,851.20x = 181,276.80 × 41,957.20
  4. Step 4: Simplify right side
    120,851.20x = 7,605,866,952.96
  5. Step 5: Solve for x
    x = 7,605,866,952.96/120,851.20
  6. Step 6: Final answer
    x = 62,935.80

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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.