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Finding the Fourth Proportional to 259,033.38, 357,477.11 and 144,311.96

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Solution

The fourth proportional to 259,033.38, 357,477.11 and 144,311.96 is: 199,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,033.38 : 357,477.11 = 144,311.96 : x
  2. Step 2: Convert to fraction form
    259,033.38/357,477.11 = 144,311.96/x
  3. Step 3: Cross multiply
    259,033.38x = 357,477.11 × 144,311.96
  4. Step 4: Simplify right side
    259,033.38x = 51,588,222,399.24
  5. Step 5: Solve for x
    x = 51,588,222,399.24/259,033.38
  6. Step 6: Final answer
    x = 199,156.66

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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.