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Finding the Fourth Proportional to 142,774.45, 214,162.16 and 36,158.37

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Solution

The fourth proportional to 142,774.45, 214,162.16 and 36,158.37 is: 54,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,774.45 : 214,162.16 = 36,158.37 : x
  2. Step 2: Convert to fraction form
    142,774.45/214,162.16 = 36,158.37/x
  3. Step 3: Cross multiply
    142,774.45x = 214,162.16 × 36,158.37
  4. Step 4: Simplify right side
    142,774.45x = 7,743,754,621.28
  5. Step 5: Solve for x
    x = 7,743,754,621.28/142,774.45
  6. Step 6: Final answer
    x = 54,237.68

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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.