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Finding the Fourth Proportional to 185,814.14, 256,422.38 and 100,930.46

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Solution

The fourth proportional to 185,814.14, 256,422.38 and 100,930.46 is: 139,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,814.14 : 256,422.38 = 100,930.46 : x
  2. Step 2: Convert to fraction form
    185,814.14/256,422.38 = 100,930.46/x
  3. Step 3: Cross multiply
    185,814.14x = 256,422.38 × 100,930.46
  4. Step 4: Simplify right side
    185,814.14x = 25,880,828,767.69
  5. Step 5: Solve for x
    x = 25,880,828,767.69/185,814.14
  6. Step 6: Final answer
    x = 139,283.42

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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.