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Finding the Fourth Proportional to 175,967, 263,994.51 and 51,308

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Solution

The fourth proportional to 175,967, 263,994.51 and 51,308 is: 76,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,967 : 263,994.51 = 51,308 : x
  2. Step 2: Convert to fraction form
    175,967/263,994.51 = 51,308/x
  3. Step 3: Cross multiply
    175,967x = 263,994.51 × 51,308
  4. Step 4: Simplify right side
    175,967x = 13,545,030,319.08
  5. Step 5: Solve for x
    x = 13,545,030,319.08/175,967
  6. Step 6: Final answer
    x = 76,974.83

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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.