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Finding the Fourth Proportional to 162,462.14, 243,748.54 and 87,589.49

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Solution

The fourth proportional to 162,462.14, 243,748.54 and 87,589.49 is: 131,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,462.14 : 243,748.54 = 87,589.49 : x
  2. Step 2: Convert to fraction form
    162,462.14/243,748.54 = 87,589.49/x
  3. Step 3: Cross multiply
    162,462.14x = 243,748.54 × 87,589.49
  4. Step 4: Simplify right side
    162,462.14x = 21,349,809,197.59
  5. Step 5: Solve for x
    x = 21,349,809,197.59/162,462.14
  6. Step 6: Final answer
    x = 131,414.06

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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.