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Finding the Fourth Proportional to 200,648.80, 300,973.20 and 188,207.20

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Solution

The fourth proportional to 200,648.80, 300,973.20 and 188,207.20 is: 282,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,648.80 : 300,973.20 = 188,207.20 : x
  2. Step 2: Convert to fraction form
    200,648.80/300,973.20 = 188,207.20/x
  3. Step 3: Cross multiply
    200,648.80x = 300,973.20 × 188,207.20
  4. Step 4: Simplify right side
    200,648.80x = 56,645,323,247.04
  5. Step 5: Solve for x
    x = 56,645,323,247.04/200,648.80
  6. Step 6: Final answer
    x = 282,310.80

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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.