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Finding the Fourth Proportional to 210,101.38, 289,942.00 and 114,610.07

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Solution

The fourth proportional to 210,101.38, 289,942.00 and 114,610.07 is: 158,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,101.38 : 289,942.00 = 114,610.07 : x
  2. Step 2: Convert to fraction form
    210,101.38/289,942.00 = 114,610.07/x
  3. Step 3: Cross multiply
    210,101.38x = 289,942.00 × 114,610.07
  4. Step 4: Simplify right side
    210,101.38x = 33,230,273,354.27
  5. Step 5: Solve for x
    x = 33,230,273,354.27/210,101.38
  6. Step 6: Final answer
    x = 158,163.04

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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.