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Finding the Fourth Proportional to 222,693.84, 307,163.34 and 137,760.48

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Solution

The fourth proportional to 222,693.84, 307,163.34 and 137,760.48 is: 190,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,693.84 : 307,163.34 = 137,760.48 : x
  2. Step 2: Convert to fraction form
    222,693.84/307,163.34 = 137,760.48/x
  3. Step 3: Cross multiply
    222,693.84x = 307,163.34 × 137,760.48
  4. Step 4: Simplify right side
    222,693.84x = 42,314,969,156.80
  5. Step 5: Solve for x
    x = 42,314,969,156.80/222,693.84
  6. Step 6: Final answer
    x = 190,014.10

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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.