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Finding the Fourth Proportional to 259,742.97, 358,441.81 and 145,023.37

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Solution

The fourth proportional to 259,742.97, 358,441.81 and 145,023.37 is: 200,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,742.97 : 358,441.81 = 145,023.37 : x
  2. Step 2: Convert to fraction form
    259,742.97/358,441.81 = 145,023.37/x
  3. Step 3: Cross multiply
    259,742.97x = 358,441.81 × 145,023.37
  4. Step 4: Simplify right side
    259,742.97x = 51,982,438,509.98
  5. Step 5: Solve for x
    x = 51,982,438,509.98/259,742.97
  6. Step 6: Final answer
    x = 200,130.30

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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.