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Finding the Fourth Proportional to 129,187.50, 193,782.06 and 35,694.06

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Solution

The fourth proportional to 129,187.50, 193,782.06 and 35,694.06 is: 53,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,187.50 : 193,782.06 = 35,694.06 : x
  2. Step 2: Convert to fraction form
    129,187.50/193,782.06 = 35,694.06/x
  3. Step 3: Cross multiply
    129,187.50x = 193,782.06 × 35,694.06
  4. Step 4: Simplify right side
    129,187.50x = 6,916,868,476.56
  5. Step 5: Solve for x
    x = 6,916,868,476.56/129,187.50
  6. Step 6: Final answer
    x = 53,541.31

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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.