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Finding the Fourth Proportional to 223,456.32, 335,112.48 and 73,661.76

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Solution

The fourth proportional to 223,456.32, 335,112.48 and 73,661.76 is: 110,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,456.32 : 335,112.48 = 73,661.76 : x
  2. Step 2: Convert to fraction form
    223,456.32/335,112.48 = 73,661.76/x
  3. Step 3: Cross multiply
    223,456.32x = 335,112.48 × 73,661.76
  4. Step 4: Simplify right side
    223,456.32x = 24,684,975,074.76
  5. Step 5: Solve for x
    x = 24,684,975,074.76/223,456.32
  6. Step 6: Final answer
    x = 110,468.91

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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.