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Finding the Fourth Proportional to 222,963.66, 307,561.17 and 142,300.27

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Solution

The fourth proportional to 222,963.66, 307,561.17 and 142,300.27 is: 196,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,963.66 : 307,561.17 = 142,300.27 : x
  2. Step 2: Convert to fraction form
    222,963.66/307,561.17 = 142,300.27/x
  3. Step 3: Cross multiply
    222,963.66x = 307,561.17 × 142,300.27
  4. Step 4: Simplify right side
    222,963.66x = 43,766,037,532.52
  5. Step 5: Solve for x
    x = 43,766,037,532.52/222,963.66
  6. Step 6: Final answer
    x = 196,292.25

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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.