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Finding the Fourth Proportional to 142,092.42, 213,133.74 and 36,912.30

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Solution

The fourth proportional to 142,092.42, 213,133.74 and 36,912.30 is: 55,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.42 : 213,133.74 = 36,912.30 : x
  2. Step 2: Convert to fraction form
    142,092.42/213,133.74 = 36,912.30/x
  3. Step 3: Cross multiply
    142,092.42x = 213,133.74 × 36,912.30
  4. Step 4: Simplify right side
    142,092.42x = 7,867,256,551.00
  5. Step 5: Solve for x
    x = 7,867,256,551.00/142,092.42
  6. Step 6: Final answer
    x = 55,367.18

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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.