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Finding the Fourth Proportional to 254,498.63, 351,208.10 and 141,321.38

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Solution

The fourth proportional to 254,498.63, 351,208.10 and 141,321.38 is: 195,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,498.63 : 351,208.10 = 141,321.38 : x
  2. Step 2: Convert to fraction form
    254,498.63/351,208.10 = 141,321.38/x
  3. Step 3: Cross multiply
    254,498.63x = 351,208.10 × 141,321.38
  4. Step 4: Simplify right side
    254,498.63x = 49,633,211,956.44
  5. Step 5: Solve for x
    x = 49,633,211,956.44/254,498.63
  6. Step 6: Final answer
    x = 195,023.50

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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.