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Finding the Fourth Proportional to 213,610.93, 294,644.14 and 137,008.64

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Solution

The fourth proportional to 213,610.93, 294,644.14 and 137,008.64 is: 188,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,610.93 : 294,644.14 = 137,008.64 : x
  2. Step 2: Convert to fraction form
    213,610.93/294,644.14 = 137,008.64/x
  3. Step 3: Cross multiply
    213,610.93x = 294,644.14 × 137,008.64
  4. Step 4: Simplify right side
    213,610.93x = 40,368,793,434.11
  5. Step 5: Solve for x
    x = 40,368,793,434.11/213,610.93
  6. Step 6: Final answer
    x = 188,982.80

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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.