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Finding the Fourth Proportional to 200,167.47, 300,251.40 and 81,838.80

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Solution

The fourth proportional to 200,167.47, 300,251.40 and 81,838.80 is: 122,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,167.47 : 300,251.40 = 81,838.80 : x
  2. Step 2: Convert to fraction form
    200,167.47/300,251.40 = 81,838.80/x
  3. Step 3: Cross multiply
    200,167.47x = 300,251.40 × 81,838.80
  4. Step 4: Simplify right side
    200,167.47x = 24,572,214,274.32
  5. Step 5: Solve for x
    x = 24,572,214,274.32/200,167.47
  6. Step 6: Final answer
    x = 122,758.28

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1.5x scale

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.