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Finding the Fourth Proportional to 224,462.22, 309,764.45 and 122,494.26

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Solution

The fourth proportional to 224,462.22, 309,764.45 and 122,494.26 is: 169,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,462.22 : 309,764.45 = 122,494.26 : x
  2. Step 2: Convert to fraction form
    224,462.22/309,764.45 = 122,494.26/x
  3. Step 3: Cross multiply
    224,462.22x = 309,764.45 × 122,494.26
  4. Step 4: Simplify right side
    224,462.22x = 37,944,364,915.76
  5. Step 5: Solve for x
    x = 37,944,364,915.76/224,462.22
  6. Step 6: Final answer
    x = 169,045.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.