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Finding the Fourth Proportional to 265,096.63, 365,822.40 and 144,238.41

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Solution

The fourth proportional to 265,096.63, 365,822.40 and 144,238.41 is: 199,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,096.63 : 365,822.40 = 144,238.41 : x
  2. Step 2: Convert to fraction form
    265,096.63/365,822.40 = 144,238.41/x
  3. Step 3: Cross multiply
    265,096.63x = 365,822.40 × 144,238.41
  4. Step 4: Simplify right side
    265,096.63x = 52,765,641,318.38
  5. Step 5: Solve for x
    x = 52,765,641,318.38/265,096.63
  6. Step 6: Final answer
    x = 199,043.05

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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.