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Finding the Fourth Proportional to 164,575.64, 246,861.62 and 52,252.86

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Solution

The fourth proportional to 164,575.64, 246,861.62 and 52,252.86 is: 78,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,575.64 : 246,861.62 = 52,252.86 : x
  2. Step 2: Convert to fraction form
    164,575.64/246,861.62 = 52,252.86/x
  3. Step 3: Cross multiply
    164,575.64x = 246,861.62 × 52,252.86
  4. Step 4: Simplify right side
    164,575.64x = 12,899,225,669.23
  5. Step 5: Solve for x
    x = 12,899,225,669.23/164,575.64
  6. Step 6: Final answer
    x = 78,378.71

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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.