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Finding the Fourth Proportional to 185,696.46, 256,264.20 and 100,813.50

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Solution

The fourth proportional to 185,696.46, 256,264.20 and 100,813.50 is: 139,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,696.46 : 256,264.20 = 100,813.50 : x
  2. Step 2: Convert to fraction form
    185,696.46/256,264.20 = 100,813.50/x
  3. Step 3: Cross multiply
    185,696.46x = 256,264.20 × 100,813.50
  4. Step 4: Simplify right side
    185,696.46x = 25,834,890,926.70
  5. Step 5: Solve for x
    x = 25,834,890,926.70/185,696.46
  6. Step 6: Final answer
    x = 139,124.30

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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.