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Finding the Fourth Proportional to 188,440.80, 282,661.20 and 83,464.80

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Solution

The fourth proportional to 188,440.80, 282,661.20 and 83,464.80 is: 125,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,440.80 : 282,661.20 = 83,464.80 : x
  2. Step 2: Convert to fraction form
    188,440.80/282,661.20 = 83,464.80/x
  3. Step 3: Cross multiply
    188,440.80x = 282,661.20 × 83,464.80
  4. Step 4: Simplify right side
    188,440.80x = 23,592,260,525.76
  5. Step 5: Solve for x
    x = 23,592,260,525.76/188,440.80
  6. Step 6: Final answer
    x = 125,197.20

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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.