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Finding the Fourth Proportional to 192,063.56, 288,106.14 and 51,833.12

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Solution

The fourth proportional to 192,063.56, 288,106.14 and 51,833.12 is: 77,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,063.56 : 288,106.14 = 51,833.12 : x
  2. Step 2: Convert to fraction form
    192,063.56/288,106.14 = 51,833.12/x
  3. Step 3: Cross multiply
    192,063.56x = 288,106.14 × 51,833.12
  4. Step 4: Simplify right side
    192,063.56x = 14,933,440,127.36
  5. Step 5: Solve for x
    x = 14,933,440,127.36/192,063.56
  6. Step 6: Final answer
    x = 77,752.59

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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.