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Finding the Fourth Proportional to 110,682, 166,021.38 and 51,484.50

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Solution

The fourth proportional to 110,682, 166,021.38 and 51,484.50 is: 77,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,682 : 166,021.38 = 51,484.50 : x
  2. Step 2: Convert to fraction form
    110,682/166,021.38 = 51,484.50/x
  3. Step 3: Cross multiply
    110,682x = 166,021.38 × 51,484.50
  4. Step 4: Simplify right side
    110,682x = 8,547,527,738.61
  5. Step 5: Solve for x
    x = 8,547,527,738.61/110,682
  6. Step 6: Final answer
    x = 77,226.00

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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.