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Finding the Fourth Proportional to 259,200.20, 357,697.90 and 144,486.13

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Solution

The fourth proportional to 259,200.20, 357,697.90 and 144,486.13 is: 199,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,200.20 : 357,697.90 = 144,486.13 : x
  2. Step 2: Convert to fraction form
    259,200.20/357,697.90 = 144,486.13/x
  3. Step 3: Cross multiply
    259,200.20x = 357,697.90 × 144,486.13
  4. Step 4: Simplify right side
    259,200.20x = 51,682,384,830.81
  5. Step 5: Solve for x
    x = 51,682,384,830.81/259,200.20
  6. Step 6: Final answer
    x = 199,391.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.