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Finding the Fourth Proportional to 200,719.40, 301,079.10 and 82,351.40

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Solution

The fourth proportional to 200,719.40, 301,079.10 and 82,351.40 is: 123,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719.40 : 301,079.10 = 82,351.40 : x
  2. Step 2: Convert to fraction form
    200,719.40/301,079.10 = 82,351.40/x
  3. Step 3: Cross multiply
    200,719.40x = 301,079.10 × 82,351.40
  4. Step 4: Simplify right side
    200,719.40x = 24,794,285,395.74
  5. Step 5: Solve for x
    x = 24,794,285,395.74/200,719.40
  6. Step 6: Final answer
    x = 123,527.10

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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.