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Finding the Fourth Proportional to 169,857.64, 254,792.22 and 45,198.76

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Solution

The fourth proportional to 169,857.64, 254,792.22 and 45,198.76 is: 67,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,857.64 : 254,792.22 = 45,198.76 : x
  2. Step 2: Convert to fraction form
    169,857.64/254,792.22 = 45,198.76/x
  3. Step 3: Cross multiply
    169,857.64x = 254,792.22 × 45,198.76
  4. Step 4: Simplify right side
    169,857.64x = 11,516,292,401.65
  5. Step 5: Solve for x
    x = 11,516,292,401.65/169,857.64
  6. Step 6: Final answer
    x = 67,799.67

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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.