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Finding the Fourth Proportional to 98,798.64, 148,198.34 and 23,918.66

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Solution

The fourth proportional to 98,798.64, 148,198.34 and 23,918.66 is: 35,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,798.64 : 148,198.34 = 23,918.66 : x
  2. Step 2: Convert to fraction form
    98,798.64/148,198.34 = 23,918.66/x
  3. Step 3: Cross multiply
    98,798.64x = 148,198.34 × 23,918.66
  4. Step 4: Simplify right side
    98,798.64x = 3,544,704,846.44
  5. Step 5: Solve for x
    x = 3,544,704,846.44/98,798.64
  6. Step 6: Final answer
    x = 35,878.07

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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.