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Finding the Fourth Proportional to 135,097.74, 202,650.74 and 46,350

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Solution

The fourth proportional to 135,097.74, 202,650.74 and 46,350 is: 69,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,097.74 : 202,650.74 = 46,350 : x
  2. Step 2: Convert to fraction form
    135,097.74/202,650.74 = 46,350/x
  3. Step 3: Cross multiply
    135,097.74x = 202,650.74 × 46,350
  4. Step 4: Simplify right side
    135,097.74x = 9,392,861,799
  5. Step 5: Solve for x
    x = 9,392,861,799/135,097.74
  6. Step 6: Final answer
    x = 69,526.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.