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Finding the Fourth Proportional to 223,158.64, 307,964.28 and 122,558.80

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Solution

The fourth proportional to 223,158.64, 307,964.28 and 122,558.80 is: 169,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,158.64 : 307,964.28 = 122,558.80 : x
  2. Step 2: Convert to fraction form
    223,158.64/307,964.28 = 122,558.80/x
  3. Step 3: Cross multiply
    223,158.64x = 307,964.28 × 122,558.80
  4. Step 4: Simplify right side
    223,158.64x = 37,743,732,599.66
  5. Step 5: Solve for x
    x = 37,743,732,599.66/223,158.64
  6. Step 6: Final answer
    x = 169,134.09

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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.