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Finding the Fourth Proportional to 142,896.83, 214,173.32 and 52,867.76

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Solution

The fourth proportional to 142,896.83, 214,173.32 and 52,867.76 is: 79,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,896.83 : 214,173.32 = 52,867.76 : x
  2. Step 2: Convert to fraction form
    142,896.83/214,173.32 = 52,867.76/x
  3. Step 3: Cross multiply
    142,896.83x = 214,173.32 × 52,867.76
  4. Step 4: Simplify right side
    142,896.83x = 11,322,863,680.16
  5. Step 5: Solve for x
    x = 11,322,863,680.16/142,896.83
  6. Step 6: Final answer
    x = 79,238.03

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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.