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Finding the Fourth Proportional to 185,713.40, 256,285.20 and 100,830.44

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Solution

The fourth proportional to 185,713.40, 256,285.20 and 100,830.44 is: 139,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,713.40 : 256,285.20 = 100,830.44 : x
  2. Step 2: Convert to fraction form
    185,713.40/256,285.20 = 100,830.44/x
  3. Step 3: Cross multiply
    185,713.40x = 256,285.20 × 100,830.44
  4. Step 4: Simplify right side
    185,713.40x = 25,841,349,481.49
  5. Step 5: Solve for x
    x = 25,841,349,481.49/185,713.40
  6. Step 6: Final answer
    x = 139,146.39

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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.