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Finding the Fourth Proportional to 162,814.40, 244,221.60 and 133,265.60

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Solution

The fourth proportional to 162,814.40, 244,221.60 and 133,265.60 is: 199,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,814.40 : 244,221.60 = 133,265.60 : x
  2. Step 2: Convert to fraction form
    162,814.40/244,221.60 = 133,265.60/x
  3. Step 3: Cross multiply
    162,814.40x = 244,221.60 × 133,265.60
  4. Step 4: Simplify right side
    162,814.40x = 32,546,338,056.96
  5. Step 5: Solve for x
    x = 32,546,338,056.96/162,814.40
  6. Step 6: Final answer
    x = 199,898.40

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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.