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Finding the Fourth Proportional to 102,185.88, 153,279.65 and 35,625.88

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Solution

The fourth proportional to 102,185.88, 153,279.65 and 35,625.88 is: 53,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,185.88 : 153,279.65 = 35,625.88 : x
  2. Step 2: Convert to fraction form
    102,185.88/153,279.65 = 35,625.88/x
  3. Step 3: Cross multiply
    102,185.88x = 153,279.65 × 35,625.88
  4. Step 4: Simplify right side
    102,185.88x = 5,460,722,239.21
  5. Step 5: Solve for x
    x = 5,460,722,239.21/102,185.88
  6. Step 6: Final answer
    x = 53,439.11

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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.