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Finding the Fourth Proportional to 162,434.20, 243,305.70 and 134,786.20

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Solution

The fourth proportional to 162,434.20, 243,305.70 and 134,786.20 is: 201,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,434.20 : 243,305.70 = 134,786.20 : x
  2. Step 2: Convert to fraction form
    162,434.20/243,305.70 = 134,786.20/x
  3. Step 3: Cross multiply
    162,434.20x = 243,305.70 × 134,786.20
  4. Step 4: Simplify right side
    162,434.20x = 32,794,250,741.34
  5. Step 5: Solve for x
    x = 32,794,250,741.34/162,434.20
  6. Step 6: Final answer
    x = 201,892.52

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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.