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Finding the Fourth Proportional to 193,008, 266,429.20 and 125,083.28

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Solution

The fourth proportional to 193,008, 266,429.20 and 125,083.28 is: 172,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,008 : 266,429.20 = 125,083.28 : x
  2. Step 2: Convert to fraction form
    193,008/266,429.20 = 125,083.28/x
  3. Step 3: Cross multiply
    193,008x = 266,429.20 × 125,083.28
  4. Step 4: Simplify right side
    193,008x = 33,325,838,223.78
  5. Step 5: Solve for x
    x = 33,325,838,223.78/193,008
  6. Step 6: Final answer
    x = 172,665.58

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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.