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Finding the Fourth Proportional to 381,423.14, 572,109.32 and 156,725.36

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Solution

The fourth proportional to 381,423.14, 572,109.32 and 156,725.36 is: 235,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,423.14 : 572,109.32 = 156,725.36 : x
  2. Step 2: Convert to fraction form
    381,423.14/572,109.32 = 156,725.36/x
  3. Step 3: Cross multiply
    381,423.14x = 572,109.32 × 156,725.36
  4. Step 4: Simplify right side
    381,423.14x = 89,664,039,136.36
  5. Step 5: Solve for x
    x = 89,664,039,136.36/381,423.14
  6. Step 6: Final answer
    x = 235,077.61

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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.