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Finding the Fourth Proportional to 127,417, 191,165.82 and 57,302.44

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Solution

The fourth proportional to 127,417, 191,165.82 and 57,302.44 is: 85,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,417 : 191,165.82 = 57,302.44 : x
  2. Step 2: Convert to fraction form
    127,417/191,165.82 = 57,302.44/x
  3. Step 3: Cross multiply
    127,417x = 191,165.82 × 57,302.44
  4. Step 4: Simplify right side
    127,417x = 10,954,267,930.60
  5. Step 5: Solve for x
    x = 10,954,267,930.60/127,417
  6. Step 6: Final answer
    x = 85,971.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.