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Finding the Fourth Proportional to 227,915.94, 314,473.48 and 131,113.85

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Solution

The fourth proportional to 227,915.94, 314,473.48 and 131,113.85 is: 180,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,915.94 : 314,473.48 = 131,113.85 : x
  2. Step 2: Convert to fraction form
    227,915.94/314,473.48 = 131,113.85/x
  3. Step 3: Cross multiply
    227,915.94x = 314,473.48 × 131,113.85
  4. Step 4: Simplify right side
    227,915.94x = 41,231,829,144.10
  5. Step 5: Solve for x
    x = 41,231,829,144.10/227,915.94
  6. Step 6: Final answer
    x = 180,908.05

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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.