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Finding the Fourth Proportional to 222,986.70, 307,592.96 and 142,323.32

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Solution

The fourth proportional to 222,986.70, 307,592.96 and 142,323.32 is: 196,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,986.70 : 307,592.96 = 142,323.32 : x
  2. Step 2: Convert to fraction form
    222,986.70/307,592.96 = 142,323.32/x
  3. Step 3: Cross multiply
    222,986.70x = 307,592.96 × 142,323.32
  4. Step 4: Simplify right side
    222,986.70x = 43,777,649,737.86
  5. Step 5: Solve for x
    x = 43,777,649,737.86/222,986.70
  6. Step 6: Final answer
    x = 196,324.04

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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.