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Finding the Fourth Proportional to 223,174.02, 334,762.78 and 82,932.50

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Solution

The fourth proportional to 223,174.02, 334,762.78 and 82,932.50 is: 124,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,174.02 : 334,762.78 = 82,932.50 : x
  2. Step 2: Convert to fraction form
    223,174.02/334,762.78 = 82,932.50/x
  3. Step 3: Cross multiply
    223,174.02x = 334,762.78 × 82,932.50
  4. Step 4: Simplify right side
    223,174.02x = 27,762,714,252.35
  5. Step 5: Solve for x
    x = 27,762,714,252.35/223,174.02
  6. Step 6: Final answer
    x = 124,399.40

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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.