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Finding the Fourth Proportional to 200,101.20, 300,151.80 and 81,857.40

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Solution

The fourth proportional to 200,101.20, 300,151.80 and 81,857.40 is: 122,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,101.20 : 300,151.80 = 81,857.40 : x
  2. Step 2: Convert to fraction form
    200,101.20/300,151.80 = 81,857.40/x
  3. Step 3: Cross multiply
    200,101.20x = 300,151.80 × 81,857.40
  4. Step 4: Simplify right side
    200,101.20x = 24,569,645,953.32
  5. Step 5: Solve for x
    x = 24,569,645,953.32/200,101.20
  6. Step 6: Final answer
    x = 122,786.10

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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.