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Finding the Fourth Proportional to 175,965, 263,991.51 and 51,306

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Solution

The fourth proportional to 175,965, 263,991.51 and 51,306 is: 76,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,965 : 263,991.51 = 51,306 : x
  2. Step 2: Convert to fraction form
    175,965/263,991.51 = 51,306/x
  3. Step 3: Cross multiply
    175,965x = 263,991.51 × 51,306
  4. Step 4: Simplify right side
    175,965x = 13,544,348,412.06
  5. Step 5: Solve for x
    x = 13,544,348,412.06/175,965
  6. Step 6: Final answer
    x = 76,971.83

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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.