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Finding the Fourth Proportional to 266,959, 368,403.36 and 146,100.34

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Solution

The fourth proportional to 266,959, 368,403.36 and 146,100.34 is: 201,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,959 : 368,403.36 = 146,100.34 : x
  2. Step 2: Convert to fraction form
    266,959/368,403.36 = 146,100.34/x
  3. Step 3: Cross multiply
    266,959x = 368,403.36 × 146,100.34
  4. Step 4: Simplify right side
    266,959x = 53,823,856,153.14
  5. Step 5: Solve for x
    x = 53,823,856,153.14/266,959
  6. Step 6: Final answer
    x = 201,618.44

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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.