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Finding the Fourth Proportional to 223,833.56, 335,539.28 and 111,407.49

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Solution

The fourth proportional to 223,833.56, 335,539.28 and 111,407.49 is: 167,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,833.56 : 335,539.28 = 111,407.49 : x
  2. Step 2: Convert to fraction form
    223,833.56/335,539.28 = 111,407.49/x
  3. Step 3: Cross multiply
    223,833.56x = 335,539.28 × 111,407.49
  4. Step 4: Simplify right side
    223,833.56x = 37,381,590,098.57
  5. Step 5: Solve for x
    x = 37,381,590,098.57/223,833.56
  6. Step 6: Final answer
    x = 167,006.19

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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.