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Finding the Fourth Proportional to 223,498.19, 308,427.51 and 122,896.19

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Solution

The fourth proportional to 223,498.19, 308,427.51 and 122,896.19 is: 169,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,498.19 : 308,427.51 = 122,896.19 : x
  2. Step 2: Convert to fraction form
    223,498.19/308,427.51 = 122,896.19/x
  3. Step 3: Cross multiply
    223,498.19x = 308,427.51 × 122,896.19
  4. Step 4: Simplify right side
    223,498.19x = 37,904,565,255.71
  5. Step 5: Solve for x
    x = 37,904,565,255.71/223,498.19
  6. Step 6: Final answer
    x = 169,596.74

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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.