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Finding the Fourth Proportional to 223,950.64, 335,761.26 and 105,557.80

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Solution

The fourth proportional to 223,950.64, 335,761.26 and 105,557.80 is: 158,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,950.64 : 335,761.26 = 105,557.80 : x
  2. Step 2: Convert to fraction form
    223,950.64/335,761.26 = 105,557.80/x
  3. Step 3: Cross multiply
    223,950.64x = 335,761.26 × 105,557.80
  4. Step 4: Simplify right side
    223,950.64x = 35,442,219,930.83
  5. Step 5: Solve for x
    x = 35,442,219,930.83/223,950.64
  6. Step 6: Final answer
    x = 158,259.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.