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Finding the Fourth Proportional to 185,696, 256,260.74 and 100,813.06

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Solution

The fourth proportional to 185,696, 256,260.74 and 100,813.06 is: 139,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,696 : 256,260.74 = 100,813.06 : x
  2. Step 2: Convert to fraction form
    185,696/256,260.74 = 100,813.06/x
  3. Step 3: Cross multiply
    185,696x = 256,260.74 × 100,813.06
  4. Step 4: Simplify right side
    185,696x = 25,834,429,357.26
  5. Step 5: Solve for x
    x = 25,834,429,357.26/185,696
  6. Step 6: Final answer
    x = 139,122.16

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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.