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Finding the Fourth Proportional to 126,698.12, 190,048.50 and 51,767.09

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Solution

The fourth proportional to 126,698.12, 190,048.50 and 51,767.09 is: 77,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,698.12 : 190,048.50 = 51,767.09 : x
  2. Step 2: Convert to fraction form
    126,698.12/190,048.50 = 51,767.09/x
  3. Step 3: Cross multiply
    126,698.12x = 190,048.50 × 51,767.09
  4. Step 4: Simplify right side
    126,698.12x = 9,838,257,803.87
  5. Step 5: Solve for x
    x = 9,838,257,803.87/126,698.12
  6. Step 6: Final answer
    x = 77,651.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.