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Finding the Fourth Proportional to 259,021.17, 357,474.81 and 151,584.81

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Solution

The fourth proportional to 259,021.17, 357,474.81 and 151,584.81 is: 209,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,021.17 : 357,474.81 = 151,584.81 : x
  2. Step 2: Convert to fraction form
    259,021.17/357,474.81 = 151,584.81/x
  3. Step 3: Cross multiply
    259,021.17x = 357,474.81 × 151,584.81
  4. Step 4: Simplify right side
    259,021.17x = 54,187,751,153.64
  5. Step 5: Solve for x
    x = 54,187,751,153.64/259,021.17
  6. Step 6: Final answer
    x = 209,202.02

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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.