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Finding the Fourth Proportional to 213,210, 294,255.72 and 123,786

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Solution

The fourth proportional to 213,210, 294,255.72 and 123,786 is: 170,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,210 : 294,255.72 = 123,786 : x
  2. Step 2: Convert to fraction form
    213,210/294,255.72 = 123,786/x
  3. Step 3: Cross multiply
    213,210x = 294,255.72 × 123,786
  4. Step 4: Simplify right side
    213,210x = 36,424,738,555.92
  5. Step 5: Solve for x
    x = 36,424,738,555.92/213,210
  6. Step 6: Final answer
    x = 170,839.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.