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Finding the Fourth Proportional to 200,096.11, 299,810.98 and 140,807.22

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Solution

The fourth proportional to 200,096.11, 299,810.98 and 140,807.22 is: 210,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,096.11 : 299,810.98 = 140,807.22 : x
  2. Step 2: Convert to fraction form
    200,096.11/299,810.98 = 140,807.22/x
  3. Step 3: Cross multiply
    200,096.11x = 299,810.98 × 140,807.22
  4. Step 4: Simplify right side
    200,096.11x = 42,215,550,619.28
  5. Step 5: Solve for x
    x = 42,215,550,619.28/200,096.11
  6. Step 6: Final answer
    x = 210,976.37

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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.