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Finding the Fourth Proportional to 223,057.60, 334,845.60 and 134,411.20

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Solution

The fourth proportional to 223,057.60, 334,845.60 and 134,411.20 is: 201,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,057.60 : 334,845.60 = 134,411.20 : x
  2. Step 2: Convert to fraction form
    223,057.60/334,845.60 = 134,411.20/x
  3. Step 3: Cross multiply
    223,057.60x = 334,845.60 × 134,411.20
  4. Step 4: Simplify right side
    223,057.60x = 45,006,998,910.72
  5. Step 5: Solve for x
    x = 45,006,998,910.72/223,057.60
  6. Step 6: Final answer
    x = 201,772.99

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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.