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Finding the Fourth Proportional to 227,778.50, 314,353.78 and 127,195.94

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Solution

The fourth proportional to 227,778.50, 314,353.78 and 127,195.94 is: 175,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,778.50 : 314,353.78 = 127,195.94 : x
  2. Step 2: Convert to fraction form
    227,778.50/314,353.78 = 127,195.94/x
  3. Step 3: Cross multiply
    227,778.50x = 314,353.78 × 127,195.94
  4. Step 4: Simplify right side
    227,778.50x = 39,984,524,539.65
  5. Step 5: Solve for x
    x = 39,984,524,539.65/227,778.50
  6. Step 6: Final answer
    x = 175,541.26

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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.