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Finding the Fourth Proportional to 188,999.80, 283,718.40 and 109,101.40

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Solution

The fourth proportional to 188,999.80, 283,718.40 and 109,101.40 is: 163,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,999.80 : 283,718.40 = 109,101.40 : x
  2. Step 2: Convert to fraction form
    188,999.80/283,718.40 = 109,101.40/x
  3. Step 3: Cross multiply
    188,999.80x = 283,718.40 × 109,101.40
  4. Step 4: Simplify right side
    188,999.80x = 30,954,074,645.76
  5. Step 5: Solve for x
    x = 30,954,074,645.76/188,999.80
  6. Step 6: Final answer
    x = 163,778.35

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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.