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Finding the Fourth Proportional to 188,242.56, 259,798.14 and 107,658.90

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Solution

The fourth proportional to 188,242.56, 259,798.14 and 107,658.90 is: 148,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,242.56 : 259,798.14 = 107,658.90 : x
  2. Step 2: Convert to fraction form
    188,242.56/259,798.14 = 107,658.90/x
  3. Step 3: Cross multiply
    188,242.56x = 259,798.14 × 107,658.90
  4. Step 4: Simplify right side
    188,242.56x = 27,969,581,974.45
  5. Step 5: Solve for x
    x = 27,969,581,974.45/188,242.56
  6. Step 6: Final answer
    x = 148,582.67

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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.