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Finding the Fourth Proportional to 114,102, 171,175.80 and 35,213.26

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Solution

The fourth proportional to 114,102, 171,175.80 and 35,213.26 is: 52,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,102 : 171,175.80 = 35,213.26 : x
  2. Step 2: Convert to fraction form
    114,102/171,175.80 = 35,213.26/x
  3. Step 3: Cross multiply
    114,102x = 171,175.80 × 35,213.26
  4. Step 4: Simplify right side
    114,102x = 6,027,657,951.11
  5. Step 5: Solve for x
    x = 6,027,657,951.11/114,102
  6. Step 6: Final answer
    x = 52,826.93

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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.