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Finding the Fourth Proportional to 224,800.42, 310,215.36 and 122,829.38

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Solution

The fourth proportional to 224,800.42, 310,215.36 and 122,829.38 is: 169,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,800.42 : 310,215.36 = 122,829.38 : x
  2. Step 2: Convert to fraction form
    224,800.42/310,215.36 = 122,829.38/x
  3. Step 3: Cross multiply
    224,800.42x = 310,215.36 × 122,829.38
  4. Step 4: Simplify right side
    224,800.42x = 38,103,560,198.83
  5. Step 5: Solve for x
    x = 38,103,560,198.83/224,800.42
  6. Step 6: Final answer
    x = 169,499.51

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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.