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Finding the Fourth Proportional to 117,209, 175,842.66 and 34,103

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Solution

The fourth proportional to 117,209, 175,842.66 and 34,103 is: 51,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,209 : 175,842.66 = 34,103 : x
  2. Step 2: Convert to fraction form
    117,209/175,842.66 = 34,103/x
  3. Step 3: Cross multiply
    117,209x = 175,842.66 × 34,103
  4. Step 4: Simplify right side
    117,209x = 5,996,762,233.98
  5. Step 5: Solve for x
    x = 5,996,762,233.98/117,209
  6. Step 6: Final answer
    x = 51,162.98

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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.