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Finding the Fourth Proportional to 259,174.70, 357,664.66 and 144,450.14

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Solution

The fourth proportional to 259,174.70, 357,664.66 and 144,450.14 is: 199,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,174.70 : 357,664.66 = 144,450.14 : x
  2. Step 2: Convert to fraction form
    259,174.70/357,664.66 = 144,450.14/x
  3. Step 3: Cross multiply
    259,174.70x = 357,664.66 × 144,450.14
  4. Step 4: Simplify right side
    259,174.70x = 51,664,710,210.05
  5. Step 5: Solve for x
    x = 51,664,710,210.05/259,174.70
  6. Step 6: Final answer
    x = 199,343.19

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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.