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Finding the Fourth Proportional to 234,451.32, 323,523.68 and 137,644.98

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Solution

The fourth proportional to 234,451.32, 323,523.68 and 137,644.98 is: 189,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,451.32 : 323,523.68 = 137,644.98 : x
  2. Step 2: Convert to fraction form
    234,451.32/323,523.68 = 137,644.98/x
  3. Step 3: Cross multiply
    234,451.32x = 323,523.68 × 137,644.98
  4. Step 4: Simplify right side
    234,451.32x = 44,531,409,774.90
  5. Step 5: Solve for x
    x = 44,531,409,774.90/234,451.32
  6. Step 6: Final answer
    x = 189,938.83

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1.5x scale

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.