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Finding the Fourth Proportional to 100,326.63, 138,464.84 and 62,098.38

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Solution

The fourth proportional to 100,326.63, 138,464.84 and 62,098.38 is: 85,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,326.63 : 138,464.84 = 62,098.38 : x
  2. Step 2: Convert to fraction form
    100,326.63/138,464.84 = 62,098.38/x
  3. Step 3: Cross multiply
    100,326.63x = 138,464.84 × 62,098.38
  4. Step 4: Simplify right side
    100,326.63x = 8,598,442,406.21
  5. Step 5: Solve for x
    x = 8,598,442,406.21/100,326.63
  6. Step 6: Final answer
    x = 85,704.48

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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.