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Finding the Fourth Proportional to 245,462, 368,197.48 and 76,978.56

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Solution

The fourth proportional to 245,462, 368,197.48 and 76,978.56 is: 115,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,462 : 368,197.48 = 76,978.56 : x
  2. Step 2: Convert to fraction form
    245,462/368,197.48 = 76,978.56/x
  3. Step 3: Cross multiply
    245,462x = 368,197.48 × 76,978.56
  4. Step 4: Simplify right side
    245,462x = 28,343,311,806.03
  5. Step 5: Solve for x
    x = 28,343,311,806.03/245,462
  6. Step 6: Final answer
    x = 115,469.24

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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.