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Finding the Fourth Proportional to 185,598.14, 256,126.14 and 100,715.22

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Solution

The fourth proportional to 185,598.14, 256,126.14 and 100,715.22 is: 138,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,598.14 : 256,126.14 = 100,715.22 : x
  2. Step 2: Convert to fraction form
    185,598.14/256,126.14 = 100,715.22/x
  3. Step 3: Cross multiply
    185,598.14x = 256,126.14 × 100,715.22
  4. Step 4: Simplify right side
    185,598.14x = 25,795,800,537.85
  5. Step 5: Solve for x
    x = 25,795,800,537.85/185,598.14
  6. Step 6: Final answer
    x = 138,987.39

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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.