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Finding the Fourth Proportional to 220,137.40, 330,206.10 and 114,931.90

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Solution

The fourth proportional to 220,137.40, 330,206.10 and 114,931.90 is: 172,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,137.40 : 330,206.10 = 114,931.90 : x
  2. Step 2: Convert to fraction form
    220,137.40/330,206.10 = 114,931.90/x
  3. Step 3: Cross multiply
    220,137.40x = 330,206.10 × 114,931.90
  4. Step 4: Simplify right side
    220,137.40x = 37,951,214,464.59
  5. Step 5: Solve for x
    x = 37,951,214,464.59/220,137.40
  6. Step 6: Final answer
    x = 172,397.85

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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.