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Finding the Fourth Proportional to 223,014.10, 307,748.16 and 132,374.02

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Solution

The fourth proportional to 223,014.10, 307,748.16 and 132,374.02 is: 182,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,014.10 : 307,748.16 = 132,374.02 : x
  2. Step 2: Convert to fraction form
    223,014.10/307,748.16 = 132,374.02/x
  3. Step 3: Cross multiply
    223,014.10x = 307,748.16 × 132,374.02
  4. Step 4: Simplify right side
    223,014.10x = 40,737,861,086.80
  5. Step 5: Solve for x
    x = 40,737,861,086.80/223,014.10
  6. Step 6: Final answer
    x = 182,669.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.