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Finding the Fourth Proportional to 223,173.80, 334,781.92 and 73,415.32

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Solution

The fourth proportional to 223,173.80, 334,781.92 and 73,415.32 is: 110,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,173.80 : 334,781.92 = 73,415.32 : x
  2. Step 2: Convert to fraction form
    223,173.80/334,781.92 = 73,415.32/x
  3. Step 3: Cross multiply
    223,173.80x = 334,781.92 × 73,415.32
  4. Step 4: Simplify right side
    223,173.80x = 24,578,121,787.01
  5. Step 5: Solve for x
    x = 24,578,121,787.01/223,173.80
  6. Step 6: Final answer
    x = 110,129.96

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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.