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Finding the Fourth Proportional to 229,376.41, 316,171.22 and 155,765.70

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Solution

The fourth proportional to 229,376.41, 316,171.22 and 155,765.70 is: 214,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,376.41 : 316,171.22 = 155,765.70 : x
  2. Step 2: Convert to fraction form
    229,376.41/316,171.22 = 155,765.70/x
  3. Step 3: Cross multiply
    229,376.41x = 316,171.22 × 155,765.70
  4. Step 4: Simplify right side
    229,376.41x = 49,248,630,624.33
  5. Step 5: Solve for x
    x = 49,248,630,624.33/229,376.41
  6. Step 6: Final answer
    x = 214,706.61

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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.