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Finding the Fourth Proportional to 200,866.80, 301,494.60 and 122,134.80

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Solution

The fourth proportional to 200,866.80, 301,494.60 and 122,134.80 is: 183,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.80 : 301,494.60 = 122,134.80 : x
  2. Step 2: Convert to fraction form
    200,866.80/301,494.60 = 122,134.80/x
  3. Step 3: Cross multiply
    200,866.80x = 301,494.60 × 122,134.80
  4. Step 4: Simplify right side
    200,866.80x = 36,822,982,672.08
  5. Step 5: Solve for x
    x = 36,822,982,672.08/200,866.80
  6. Step 6: Final answer
    x = 183,320.40

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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.