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Finding the Fourth Proportional to 200,785.92, 277,090.56 and 111,360

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Solution

The fourth proportional to 200,785.92, 277,090.56 and 111,360 is: 153,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,785.92 : 277,090.56 = 111,360 : x
  2. Step 2: Convert to fraction form
    200,785.92/277,090.56 = 111,360/x
  3. Step 3: Cross multiply
    200,785.92x = 277,090.56 × 111,360
  4. Step 4: Simplify right side
    200,785.92x = 30,856,804,761.60
  5. Step 5: Solve for x
    x = 30,856,804,761.60/200,785.92
  6. Step 6: Final answer
    x = 153,680.12

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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.