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Finding the Fourth Proportional to 223,032.23, 334,477.86 and 73,247.84

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Solution

The fourth proportional to 223,032.23, 334,477.86 and 73,247.84 is: 109,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,032.23 : 334,477.86 = 73,247.84 : x
  2. Step 2: Convert to fraction form
    223,032.23/334,477.86 = 73,247.84/x
  3. Step 3: Cross multiply
    223,032.23x = 334,477.86 × 73,247.84
  4. Step 4: Simplify right side
    223,032.23x = 24,499,780,772.82
  5. Step 5: Solve for x
    x = 24,499,780,772.82/223,032.23
  6. Step 6: Final answer
    x = 109,848.61

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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.