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Finding the Fourth Proportional to 223,846.24, 308,898.48 and 123,237.76

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Solution

The fourth proportional to 223,846.24, 308,898.48 and 123,237.76 is: 170,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,846.24 : 308,898.48 = 123,237.76 : x
  2. Step 2: Convert to fraction form
    223,846.24/308,898.48 = 123,237.76/x
  3. Step 3: Cross multiply
    223,846.24x = 308,898.48 × 123,237.76
  4. Step 4: Simplify right side
    223,846.24x = 38,067,956,742.60
  5. Step 5: Solve for x
    x = 38,067,956,742.60/223,846.24
  6. Step 6: Final answer
    x = 170,062.97

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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.