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Finding the Fourth Proportional to 117,114.14, 175,676.04 and 34,008.14

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Solution

The fourth proportional to 117,114.14, 175,676.04 and 34,008.14 is: 51,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114.14 : 175,676.04 = 34,008.14 : x
  2. Step 2: Convert to fraction form
    117,114.14/175,676.04 = 34,008.14/x
  3. Step 3: Cross multiply
    117,114.14x = 175,676.04 × 34,008.14
  4. Step 4: Simplify right side
    117,114.14x = 5,974,415,362.97
  5. Step 5: Solve for x
    x = 5,974,415,362.97/117,114.14
  6. Step 6: Final answer
    x = 51,013.61

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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.