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Finding the Fourth Proportional to 162,135, 243,203.58 and 51,327

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Solution

The fourth proportional to 162,135, 243,203.58 and 51,327 is: 76,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,135 : 243,203.58 = 51,327 : x
  2. Step 2: Convert to fraction form
    162,135/243,203.58 = 51,327/x
  3. Step 3: Cross multiply
    162,135x = 243,203.58 × 51,327
  4. Step 4: Simplify right side
    162,135x = 12,482,910,150.66
  5. Step 5: Solve for x
    x = 12,482,910,150.66/162,135
  6. Step 6: Final answer
    x = 76,990.84

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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.