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Finding the Fourth Proportional to 224,758.48, 310,161.52 and 122,784.36

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Solution

The fourth proportional to 224,758.48, 310,161.52 and 122,784.36 is: 169,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,758.48 : 310,161.52 = 122,784.36 : x
  2. Step 2: Convert to fraction form
    224,758.48/310,161.52 = 122,784.36/x
  3. Step 3: Cross multiply
    224,758.48x = 310,161.52 × 122,784.36
  4. Step 4: Simplify right side
    224,758.48x = 38,082,983,729.83
  5. Step 5: Solve for x
    x = 38,082,983,729.83/224,758.48
  6. Step 6: Final answer
    x = 169,439.59

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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.