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Finding the Fourth Proportional to 156,465.84, 234,613.98 and 55,213.14

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Solution

The fourth proportional to 156,465.84, 234,613.98 and 55,213.14 is: 82,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,465.84 : 234,613.98 = 55,213.14 : x
  2. Step 2: Convert to fraction form
    156,465.84/234,613.98 = 55,213.14/x
  3. Step 3: Cross multiply
    156,465.84x = 234,613.98 × 55,213.14
  4. Step 4: Simplify right side
    156,465.84x = 12,953,774,523.70
  5. Step 5: Solve for x
    x = 12,953,774,523.70/156,465.84
  6. Step 6: Final answer
    x = 82,789.79

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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.