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Finding the Fourth Proportional to 142,644.24, 214,002 and 42,806.27

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Solution

The fourth proportional to 142,644.24, 214,002 and 42,806.27 is: 64,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,644.24 : 214,002 = 42,806.27 : x
  2. Step 2: Convert to fraction form
    142,644.24/214,002 = 42,806.27/x
  3. Step 3: Cross multiply
    142,644.24x = 214,002 × 42,806.27
  4. Step 4: Simplify right side
    142,644.24x = 9,160,627,927.55
  5. Step 5: Solve for x
    x = 9,160,627,927.55/142,644.24
  6. Step 6: Final answer
    x = 64,220.10

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