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Finding the Fourth Proportional to 169,378.34, 254,100.46 and 51,043.82

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Solution

The fourth proportional to 169,378.34, 254,100.46 and 51,043.82 is: 76,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378.34 : 254,100.46 = 51,043.82 : x
  2. Step 2: Convert to fraction form
    169,378.34/254,100.46 = 51,043.82/x
  3. Step 3: Cross multiply
    169,378.34x = 254,100.46 × 51,043.82
  4. Step 4: Simplify right side
    169,378.34x = 12,970,258,142.16
  5. Step 5: Solve for x
    x = 12,970,258,142.16/169,378.34
  6. Step 6: Final answer
    x = 76,575.66

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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.