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Finding the Fourth Proportional to 227,739.75, 314,280.88 and 127,137.75

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Solution

The fourth proportional to 227,739.75, 314,280.88 and 127,137.75 is: 175,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,739.75 : 314,280.88 = 127,137.75 : x
  2. Step 2: Convert to fraction form
    227,739.75/314,280.88 = 127,137.75/x
  3. Step 3: Cross multiply
    227,739.75x = 314,280.88 × 127,137.75
  4. Step 4: Simplify right side
    227,739.75x = 39,956,963,633.38
  5. Step 5: Solve for x
    x = 39,956,963,633.38/227,739.75
  6. Step 6: Final answer
    x = 175,450.11

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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.