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Finding the Fourth Proportional to 99,514.88, 149,182.64 and 36,290.64

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Solution

The fourth proportional to 99,514.88, 149,182.64 and 36,290.64 is: 54,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,514.88 : 149,182.64 = 36,290.64 : x
  2. Step 2: Convert to fraction form
    99,514.88/149,182.64 = 36,290.64/x
  3. Step 3: Cross multiply
    99,514.88x = 149,182.64 × 36,290.64
  4. Step 4: Simplify right side
    99,514.88x = 5,413,933,573.22
  5. Step 5: Solve for x
    x = 5,413,933,573.22/99,514.88
  6. Step 6: Final answer
    x = 54,403.26

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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.