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Finding the Fourth Proportional to 223,533.81, 335,342.16 and 73,784.52

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Solution

The fourth proportional to 223,533.81, 335,342.16 and 73,784.52 is: 110,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,533.81 : 335,342.16 = 73,784.52 : x
  2. Step 2: Convert to fraction form
    223,533.81/335,342.16 = 73,784.52/x
  3. Step 3: Cross multiply
    223,533.81x = 335,342.16 × 73,784.52
  4. Step 4: Simplify right side
    223,533.81x = 24,743,060,311.36
  5. Step 5: Solve for x
    x = 24,743,060,311.36/223,533.81
  6. Step 6: Final answer
    x = 110,690.46

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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.