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Finding the Fourth Proportional to 227,599.75, 314,097.51 and 126,997.75

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Solution

The fourth proportional to 227,599.75, 314,097.51 and 126,997.75 is: 175,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,599.75 : 314,097.51 = 126,997.75 : x
  2. Step 2: Convert to fraction form
    227,599.75/314,097.51 = 126,997.75/x
  3. Step 3: Cross multiply
    227,599.75x = 314,097.51 × 126,997.75
  4. Step 4: Simplify right side
    227,599.75x = 39,889,677,050.60
  5. Step 5: Solve for x
    x = 39,889,677,050.60/227,599.75
  6. Step 6: Final answer
    x = 175,262.39

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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.