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Finding the Fourth Proportional to 223,347.96, 335,099.70 and 105,109.56

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Solution

The fourth proportional to 223,347.96, 335,099.70 and 105,109.56 is: 157,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,347.96 : 335,099.70 = 105,109.56 : x
  2. Step 2: Convert to fraction form
    223,347.96/335,099.70 = 105,109.56/x
  3. Step 3: Cross multiply
    223,347.96x = 335,099.70 × 105,109.56
  4. Step 4: Simplify right side
    223,347.96x = 35,222,182,023.13
  5. Step 5: Solve for x
    x = 35,222,182,023.13/223,347.96
  6. Step 6: Final answer
    x = 157,700.93

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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.