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Finding the Fourth Proportional to 259,391.64, 357,965.94 and 146,214.36

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Solution

The fourth proportional to 259,391.64, 357,965.94 and 146,214.36 is: 201,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,391.64 : 357,965.94 = 146,214.36 : x
  2. Step 2: Convert to fraction form
    259,391.64/357,965.94 = 146,214.36/x
  3. Step 3: Cross multiply
    259,391.64x = 357,965.94 × 146,214.36
  4. Step 4: Simplify right side
    259,391.64x = 52,339,760,818.90
  5. Step 5: Solve for x
    x = 52,339,760,818.90/259,391.64
  6. Step 6: Final answer
    x = 201,778.90

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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.