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Finding the Fourth Proportional to 132,978.88, 199,412.16 and 44,208.64

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Solution

The fourth proportional to 132,978.88, 199,412.16 and 44,208.64 is: 66,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,978.88 : 199,412.16 = 44,208.64 : x
  2. Step 2: Convert to fraction form
    132,978.88/199,412.16 = 44,208.64/x
  3. Step 3: Cross multiply
    132,978.88x = 199,412.16 × 44,208.64
  4. Step 4: Simplify right side
    132,978.88x = 8,815,740,393.06
  5. Step 5: Solve for x
    x = 8,815,740,393.06/132,978.88
  6. Step 6: Final answer
    x = 66,294.29

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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.