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Finding the Fourth Proportional to 120,746.80, 181,048.20 and 74,033.20

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Solution

The fourth proportional to 120,746.80, 181,048.20 and 74,033.20 is: 111,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,746.80 : 181,048.20 = 74,033.20 : x
  2. Step 2: Convert to fraction form
    120,746.80/181,048.20 = 74,033.20/x
  3. Step 3: Cross multiply
    120,746.80x = 181,048.20 × 74,033.20
  4. Step 4: Simplify right side
    120,746.80x = 13,403,577,600.24
  5. Step 5: Solve for x
    x = 13,403,577,600.24/120,746.80
  6. Step 6: Final answer
    x = 111,005.65

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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.