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Finding the Fourth Proportional to 185,694.26, 256,261.05 and 100,811.25

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Solution

The fourth proportional to 185,694.26, 256,261.05 and 100,811.25 is: 139,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,694.26 : 256,261.05 = 100,811.25 : x
  2. Step 2: Convert to fraction form
    185,694.26/256,261.05 = 100,811.25/x
  3. Step 3: Cross multiply
    185,694.26x = 256,261.05 × 100,811.25
  4. Step 4: Simplify right side
    185,694.26x = 25,833,996,776.81
  5. Step 5: Solve for x
    x = 25,833,996,776.81/185,694.26
  6. Step 6: Final answer
    x = 139,121.14

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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.