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Finding the Fourth Proportional to 211,466.36, 291,839.01 and 120,820.38

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Solution

The fourth proportional to 211,466.36, 291,839.01 and 120,820.38 is: 166,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,466.36 : 291,839.01 = 120,820.38 : x
  2. Step 2: Convert to fraction form
    211,466.36/291,839.01 = 120,820.38/x
  3. Step 3: Cross multiply
    211,466.36x = 291,839.01 × 120,820.38
  4. Step 4: Simplify right side
    211,466.36x = 35,260,100,004.67
  5. Step 5: Solve for x
    x = 35,260,100,004.67/211,466.36
  6. Step 6: Final answer
    x = 166,740.95

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Why These Related Problems?

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