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Finding the Fourth Proportional to 142,782.09, 214,173.64 and 36,165.99

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Solution

The fourth proportional to 142,782.09, 214,173.64 and 36,165.99 is: 54,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.09 : 214,173.64 = 36,165.99 : x
  2. Step 2: Convert to fraction form
    142,782.09/214,173.64 = 36,165.99/x
  3. Step 3: Cross multiply
    142,782.09x = 214,173.64 × 36,165.99
  4. Step 4: Simplify right side
    142,782.09x = 7,745,802,570.86
  5. Step 5: Solve for x
    x = 7,745,802,570.86/142,782.09
  6. Step 6: Final answer
    x = 54,249.12

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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.