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Finding the Fourth Proportional to 117,310, 175,994.34 and 34,204

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Solution

The fourth proportional to 117,310, 175,994.34 and 34,204 is: 51,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,310 : 175,994.34 = 34,204 : x
  2. Step 2: Convert to fraction form
    117,310/175,994.34 = 34,204/x
  3. Step 3: Cross multiply
    117,310x = 175,994.34 × 34,204
  4. Step 4: Simplify right side
    117,310x = 6,019,710,405.36
  5. Step 5: Solve for x
    x = 6,019,710,405.36/117,310
  6. Step 6: Final answer
    x = 51,314.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.