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Finding the Fourth Proportional to 117,207.70, 175,816.42 and 34,101.70

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Solution

The fourth proportional to 117,207.70, 175,816.42 and 34,101.70 is: 51,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,207.70 : 175,816.42 = 34,101.70 : x
  2. Step 2: Convert to fraction form
    117,207.70/175,816.42 = 34,101.70/x
  3. Step 3: Cross multiply
    117,207.70x = 175,816.42 × 34,101.70
  4. Step 4: Simplify right side
    117,207.70x = 5,995,638,809.91
  5. Step 5: Solve for x
    x = 5,995,638,809.91/117,207.70
  6. Step 6: Final answer
    x = 51,153.97

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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.