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Finding the Fourth Proportional to 114,069.33, 171,046.88 and 35,173.30

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Solution

The fourth proportional to 114,069.33, 171,046.88 and 35,173.30 is: 52,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,069.33 : 171,046.88 = 35,173.30 : x
  2. Step 2: Convert to fraction form
    114,069.33/171,046.88 = 35,173.30/x
  3. Step 3: Cross multiply
    114,069.33x = 171,046.88 × 35,173.30
  4. Step 4: Simplify right side
    114,069.33x = 6,016,283,312.24
  5. Step 5: Solve for x
    x = 6,016,283,312.24/114,069.33
  6. Step 6: Final answer
    x = 52,742.34

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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.