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Finding the Fourth Proportional to 294,242.94, 406,042.95 and 166,942.53

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Solution

The fourth proportional to 294,242.94, 406,042.95 and 166,942.53 is: 230,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.94 : 406,042.95 = 166,942.53 : x
  2. Step 2: Convert to fraction form
    294,242.94/406,042.95 = 166,942.53/x
  3. Step 3: Cross multiply
    294,242.94x = 406,042.95 × 166,942.53
  4. Step 4: Simplify right side
    294,242.94x = 67,785,837,361.66
  5. Step 5: Solve for x
    x = 67,785,837,361.66/294,242.94
  6. Step 6: Final answer
    x = 230,373.71

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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.