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Finding the Fourth Proportional to 227,586.49, 314,069.16 and 126,984.49

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Solution

The fourth proportional to 227,586.49, 314,069.16 and 126,984.49 is: 175,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,586.49 : 314,069.16 = 126,984.49 : x
  2. Step 2: Convert to fraction form
    227,586.49/314,069.16 = 126,984.49/x
  3. Step 3: Cross multiply
    227,586.49x = 314,069.16 × 126,984.49
  4. Step 4: Simplify right side
    227,586.49x = 39,881,912,107.33
  5. Step 5: Solve for x
    x = 39,881,912,107.33/227,586.49
  6. Step 6: Final answer
    x = 175,238.49

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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.