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Finding the Fourth Proportional to 164,572.64, 246,857.13 and 52,249.84

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Solution

The fourth proportional to 164,572.64, 246,857.13 and 52,249.84 is: 78,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,572.64 : 246,857.13 = 52,249.84 : x
  2. Step 2: Convert to fraction form
    164,572.64/246,857.13 = 52,249.84/x
  3. Step 3: Cross multiply
    164,572.64x = 246,857.13 × 52,249.84
  4. Step 4: Simplify right side
    164,572.64x = 12,898,244,311.07
  5. Step 5: Solve for x
    x = 12,898,244,311.07/164,572.64
  6. Step 6: Final answer
    x = 78,374.17

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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.