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Finding the Fourth Proportional to 227,915.69, 314,473.13 and 131,113.61

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Solution

The fourth proportional to 227,915.69, 314,473.13 and 131,113.61 is: 180,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,915.69 : 314,473.13 = 131,113.61 : x
  2. Step 2: Convert to fraction form
    227,915.69/314,473.13 = 131,113.61/x
  3. Step 3: Cross multiply
    227,915.69x = 314,473.13 × 131,113.61
  4. Step 4: Simplify right side
    227,915.69x = 41,231,705,749.93
  5. Step 5: Solve for x
    x = 41,231,705,749.93/227,915.69
  6. Step 6: Final answer
    x = 180,907.71

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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.