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Finding the Fourth Proportional to 185,811.16, 256,419.48 and 100,930

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Solution

The fourth proportional to 185,811.16, 256,419.48 and 100,930 is: 139,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,811.16 : 256,419.48 = 100,930 : x
  2. Step 2: Convert to fraction form
    185,811.16/256,419.48 = 100,930/x
  3. Step 3: Cross multiply
    185,811.16x = 256,419.48 × 100,930
  4. Step 4: Simplify right side
    185,811.16x = 25,880,418,116.40
  5. Step 5: Solve for x
    x = 25,880,418,116.40/185,811.16
  6. Step 6: Final answer
    x = 139,283.44

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