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Finding the Fourth Proportional to 211,466.42, 291,822.32 and 120,850.10

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Solution

The fourth proportional to 211,466.42, 291,822.32 and 120,850.10 is: 166,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,466.42 : 291,822.32 = 120,850.10 : x
  2. Step 2: Convert to fraction form
    211,466.42/291,822.32 = 120,850.10/x
  3. Step 3: Cross multiply
    211,466.42x = 291,822.32 × 120,850.10
  4. Step 4: Simplify right side
    211,466.42x = 35,266,756,554.23
  5. Step 5: Solve for x
    x = 35,266,756,554.23/211,466.42
  6. Step 6: Final answer
    x = 166,772.37

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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.