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Finding the Fourth Proportional to 265,092.18, 365,828.80 and 144,234.38

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Solution

The fourth proportional to 265,092.18, 365,828.80 and 144,234.38 is: 199,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,092.18 : 365,828.80 = 144,234.38 : x
  2. Step 2: Convert to fraction form
    265,092.18/365,828.80 = 144,234.38/x
  3. Step 3: Cross multiply
    265,092.18x = 365,828.80 × 144,234.38
  4. Step 4: Simplify right side
    265,092.18x = 52,765,090,154.14
  5. Step 5: Solve for x
    x = 52,765,090,154.14/265,092.18
  6. Step 6: Final answer
    x = 199,044.31

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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.