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Finding the Fourth Proportional to 223,162.64, 307,963.20 and 121,187.12

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Solution

The fourth proportional to 223,162.64, 307,963.20 and 121,187.12 is: 167,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,162.64 : 307,963.20 = 121,187.12 : x
  2. Step 2: Convert to fraction form
    223,162.64/307,963.20 = 121,187.12/x
  3. Step 3: Cross multiply
    223,162.64x = 307,963.20 × 121,187.12
  4. Step 4: Simplify right side
    223,162.64x = 37,321,173,273.98
  5. Step 5: Solve for x
    x = 37,321,173,273.98/223,162.64
  6. Step 6: Final answer
    x = 167,237.55

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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.