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Finding the Fourth Proportional to 259,664.82, 358,354.17 and 146,485.14

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Solution

The fourth proportional to 259,664.82, 358,354.17 and 146,485.14 is: 202,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,664.82 : 358,354.17 = 146,485.14 : x
  2. Step 2: Convert to fraction form
    259,664.82/358,354.17 = 146,485.14/x
  3. Step 3: Cross multiply
    259,664.82x = 358,354.17 × 146,485.14
  4. Step 4: Simplify right side
    259,664.82x = 52,493,560,762.03
  5. Step 5: Solve for x
    x = 52,493,560,762.03/259,664.82
  6. Step 6: Final answer
    x = 202,158.92

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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.