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Finding the Fourth Proportional to 259,796.52, 358,511.94 and 146,629.80

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Solution

The fourth proportional to 259,796.52, 358,511.94 and 146,629.80 is: 202,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,796.52 : 358,511.94 = 146,629.80 : x
  2. Step 2: Convert to fraction form
    259,796.52/358,511.94 = 146,629.80/x
  3. Step 3: Cross multiply
    259,796.52x = 358,511.94 × 146,629.80
  4. Step 4: Simplify right side
    259,796.52x = 52,568,534,059.81
  5. Step 5: Solve for x
    x = 52,568,534,059.81/259,796.52
  6. Step 6: Final answer
    x = 202,345.03

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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.