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Finding the Fourth Proportional to 200,461.14, 300,726.45 and 67,354.38

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Solution

The fourth proportional to 200,461.14, 300,726.45 and 67,354.38 is: 101,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,461.14 : 300,726.45 = 67,354.38 : x
  2. Step 2: Convert to fraction form
    200,461.14/300,726.45 = 67,354.38/x
  3. Step 3: Cross multiply
    200,461.14x = 300,726.45 × 67,354.38
  4. Step 4: Simplify right side
    200,461.14x = 20,255,243,589.35
  5. Step 5: Solve for x
    x = 20,255,243,589.35/200,461.14
  6. Step 6: Final answer
    x = 101,043.24

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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.