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Finding the Fourth Proportional to 100,094.77, 137,962.44 and 75,887.72

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Solution

The fourth proportional to 100,094.77, 137,962.44 and 75,887.72 is: 104,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,094.77 : 137,962.44 = 75,887.72 : x
  2. Step 2: Convert to fraction form
    100,094.77/137,962.44 = 75,887.72/x
  3. Step 3: Cross multiply
    100,094.77x = 137,962.44 × 75,887.72
  4. Step 4: Simplify right side
    100,094.77x = 10,469,654,844.78
  5. Step 5: Solve for x
    x = 10,469,654,844.78/100,094.77
  6. Step 6: Final answer
    x = 104,597.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.