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Finding the Fourth Proportional to 259,064.07, 357,494.16 and 142,754.64

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Solution

The fourth proportional to 259,064.07, 357,494.16 and 142,754.64 is: 196,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,064.07 : 357,494.16 = 142,754.64 : x
  2. Step 2: Convert to fraction form
    259,064.07/357,494.16 = 142,754.64/x
  3. Step 3: Cross multiply
    259,064.07x = 357,494.16 × 142,754.64
  4. Step 4: Simplify right side
    259,064.07x = 51,033,948,504.63
  5. Step 5: Solve for x
    x = 51,033,948,504.63/259,064.07
  6. Step 6: Final answer
    x = 196,993.54

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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.