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Finding the Fourth Proportional to 266,088, 367,201.92 and 146,856

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Solution

The fourth proportional to 266,088, 367,201.92 and 146,856 is: 202,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,088 : 367,201.92 = 146,856 : x
  2. Step 2: Convert to fraction form
    266,088/367,201.92 = 146,856/x
  3. Step 3: Cross multiply
    266,088x = 367,201.92 × 146,856
  4. Step 4: Simplify right side
    266,088x = 53,925,805,163.52
  5. Step 5: Solve for x
    x = 53,925,805,163.52/266,088
  6. Step 6: Final answer
    x = 202,661.54

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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.