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Finding the Fourth Proportional to 200,133.40, 299,471.10 and 147,645.40

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Solution

The fourth proportional to 200,133.40, 299,471.10 and 147,645.40 is: 220,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,133.40 : 299,471.10 = 147,645.40 : x
  2. Step 2: Convert to fraction form
    200,133.40/299,471.10 = 147,645.40/x
  3. Step 3: Cross multiply
    200,133.40x = 299,471.10 × 147,645.40
  4. Step 4: Simplify right side
    200,133.40x = 44,215,530,347.94
  5. Step 5: Solve for x
    x = 44,215,530,347.94/200,133.40
  6. Step 6: Final answer
    x = 220,930.29

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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.