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Finding the Fourth Proportional to 164,350.27, 246,562.35 and 52,037.20

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Solution

The fourth proportional to 164,350.27, 246,562.35 and 52,037.20 is: 78,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,350.27 : 246,562.35 = 52,037.20 : x
  2. Step 2: Convert to fraction form
    164,350.27/246,562.35 = 52,037.20/x
  3. Step 3: Cross multiply
    164,350.27x = 246,562.35 × 52,037.20
  4. Step 4: Simplify right side
    164,350.27x = 12,830,414,319.42
  5. Step 5: Solve for x
    x = 12,830,414,319.42/164,350.27
  6. Step 6: Final answer
    x = 78,067.50

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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.