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Finding the Fourth Proportional to 227,588.74, 314,072.26 and 126,986.74

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Solution

The fourth proportional to 227,588.74, 314,072.26 and 126,986.74 is: 175,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,588.74 : 314,072.26 = 126,986.74 : x
  2. Step 2: Convert to fraction form
    227,588.74/314,072.26 = 126,986.74/x
  3. Step 3: Cross multiply
    227,588.74x = 314,072.26 × 126,986.74
  4. Step 4: Simplify right side
    227,588.74x = 39,883,012,421.83
  5. Step 5: Solve for x
    x = 39,883,012,421.83/227,588.74
  6. Step 6: Final answer
    x = 175,241.59

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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.