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Finding the Fourth Proportional to 266,095, 367,211.58 and 146,863

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Solution

The fourth proportional to 266,095, 367,211.58 and 146,863 is: 202,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,095 : 367,211.58 = 146,863 : x
  2. Step 2: Convert to fraction form
    266,095/367,211.58 = 146,863/x
  3. Step 3: Cross multiply
    266,095x = 367,211.58 × 146,863
  4. Step 4: Simplify right side
    266,095x = 53,929,794,273.54
  5. Step 5: Solve for x
    x = 53,929,794,273.54/266,095
  6. Step 6: Final answer
    x = 202,671.20

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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.