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Finding the Fourth Proportional to 110,717.70, 166,076.55 and 77,475.30

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Solution

The fourth proportional to 110,717.70, 166,076.55 and 77,475.30 is: 116,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,717.70 : 166,076.55 = 77,475.30 : x
  2. Step 2: Convert to fraction form
    110,717.70/166,076.55 = 77,475.30/x
  3. Step 3: Cross multiply
    110,717.70x = 166,076.55 × 77,475.30
  4. Step 4: Simplify right side
    110,717.70x = 12,866,830,534.22
  5. Step 5: Solve for x
    x = 12,866,830,534.22/110,717.70
  6. Step 6: Final answer
    x = 116,212.95

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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.