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Finding the Fourth Proportional to 259,010.21, 357,428.70 and 144,288.69

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Solution

The fourth proportional to 259,010.21, 357,428.70 and 144,288.69 is: 199,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,010.21 : 357,428.70 = 144,288.69 : x
  2. Step 2: Convert to fraction form
    259,010.21/357,428.70 = 144,288.69/x
  3. Step 3: Cross multiply
    259,010.21x = 357,428.70 × 144,288.69
  4. Step 4: Simplify right side
    259,010.21x = 51,572,919,561.58
  5. Step 5: Solve for x
    x = 51,572,919,561.58/259,010.21
  6. Step 6: Final answer
    x = 199,115.39

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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.