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Finding the Fourth Proportional to 78,134.88, 107,819.73 and 44,146.32

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Solution

The fourth proportional to 78,134.88, 107,819.73 and 44,146.32 is: 60,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.88 : 107,819.73 = 44,146.32 : x
  2. Step 2: Convert to fraction form
    78,134.88/107,819.73 = 44,146.32/x
  3. Step 3: Cross multiply
    78,134.88x = 107,819.73 × 44,146.32
  4. Step 4: Simplify right side
    78,134.88x = 4,759,844,302.89
  5. Step 5: Solve for x
    x = 4,759,844,302.89/78,134.88
  6. Step 6: Final answer
    x = 60,918.30

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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.