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Finding the Fourth Proportional to 185,702.46, 256,269.39 and 100,819.53

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Solution

The fourth proportional to 185,702.46, 256,269.39 and 100,819.53 is: 139,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,702.46 : 256,269.39 = 100,819.53 : x
  2. Step 2: Convert to fraction form
    185,702.46/256,269.39 = 100,819.53/x
  3. Step 3: Cross multiply
    185,702.46x = 256,269.39 × 100,819.53
  4. Step 4: Simplify right side
    185,702.46x = 25,836,959,453.19
  5. Step 5: Solve for x
    x = 25,836,959,453.19/185,702.46
  6. Step 6: Final answer
    x = 139,130.95

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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.