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Finding the Fourth Proportional to 117,208, 175,841.16 and 34,102

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Solution

The fourth proportional to 117,208, 175,841.16 and 34,102 is: 51,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,208 : 175,841.16 = 34,102 : x
  2. Step 2: Convert to fraction form
    117,208/175,841.16 = 34,102/x
  3. Step 3: Cross multiply
    117,208x = 175,841.16 × 34,102
  4. Step 4: Simplify right side
    117,208x = 5,996,535,238.32
  5. Step 5: Solve for x
    x = 5,996,535,238.32/117,208
  6. Step 6: Final answer
    x = 51,161.48

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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.