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Finding the Fourth Proportional to 224,669.40, 310,046.24 and 122,697.86

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Solution

The fourth proportional to 224,669.40, 310,046.24 and 122,697.86 is: 169,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,669.40 : 310,046.24 = 122,697.86 : x
  2. Step 2: Convert to fraction form
    224,669.40/310,046.24 = 122,697.86/x
  3. Step 3: Cross multiply
    224,669.40x = 310,046.24 × 122,697.86
  4. Step 4: Simplify right side
    224,669.40x = 38,042,011,230.91
  5. Step 5: Solve for x
    x = 38,042,011,230.91/224,669.40
  6. Step 6: Final answer
    x = 169,324.40

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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.