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Finding the Fourth Proportional to 223,062.32, 307,826.52 and 122,466.80

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Solution

The fourth proportional to 223,062.32, 307,826.52 and 122,466.80 is: 169,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,062.32 : 307,826.52 = 122,466.80 : x
  2. Step 2: Convert to fraction form
    223,062.32/307,826.52 = 122,466.80/x
  3. Step 3: Cross multiply
    223,062.32x = 307,826.52 × 122,466.80
  4. Step 4: Simplify right side
    223,062.32x = 37,698,528,859.54
  5. Step 5: Solve for x
    x = 37,698,528,859.54/223,062.32
  6. Step 6: Final answer
    x = 169,004.47

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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.