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Finding the Fourth Proportional to 259,241.70, 357,741.12 and 144,532.95

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Solution

The fourth proportional to 259,241.70, 357,741.12 and 144,532.95 is: 199,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,241.70 : 357,741.12 = 144,532.95 : x
  2. Step 2: Convert to fraction form
    259,241.70/357,741.12 = 144,532.95/x
  3. Step 3: Cross multiply
    259,241.70x = 357,741.12 × 144,532.95
  4. Step 4: Simplify right side
    259,241.70x = 51,705,379,409.90
  5. Step 5: Solve for x
    x = 51,705,379,409.90/259,241.70
  6. Step 6: Final answer
    x = 199,448.54

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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.