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Finding the Fourth Proportional to 169,495.20, 254,234.70 and 57,164.40

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Solution

The fourth proportional to 169,495.20, 254,234.70 and 57,164.40 is: 85,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,495.20 : 254,234.70 = 57,164.40 : x
  2. Step 2: Convert to fraction form
    169,495.20/254,234.70 = 57,164.40/x
  3. Step 3: Cross multiply
    169,495.20x = 254,234.70 × 57,164.40
  4. Step 4: Simplify right side
    169,495.20x = 14,533,174,084.68
  5. Step 5: Solve for x
    x = 14,533,174,084.68/169,495.20
  6. Step 6: Final answer
    x = 85,743.87

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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.