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Finding the Fourth Proportional to 223,026, 334,539 and 75,282

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Solution

The fourth proportional to 223,026, 334,539 and 75,282 is: 112,923

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,026 : 334,539 = 75,282 : x
  2. Step 2: Convert to fraction form
    223,026/334,539 = 75,282/x
  3. Step 3: Cross multiply
    223,026x = 334,539 × 75,282
  4. Step 4: Simplify right side
    223,026x = 25,184,764,998
  5. Step 5: Solve for x
    x = 25,184,764,998/223,026
  6. Step 6: Final answer
    x = 112,923

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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.