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Finding the Fourth Proportional to 266,866.38, 368,272.31 and 146,006.15

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Solution

The fourth proportional to 266,866.38, 368,272.31 and 146,006.15 is: 201,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,866.38 : 368,272.31 = 146,006.15 : x
  2. Step 2: Convert to fraction form
    266,866.38/368,272.31 = 146,006.15/x
  3. Step 3: Cross multiply
    266,866.38x = 368,272.31 × 146,006.15
  4. Step 4: Simplify right side
    266,866.38x = 53,770,019,563.31
  5. Step 5: Solve for x
    x = 53,770,019,563.31/266,866.38
  6. Step 6: Final answer
    x = 201,486.67

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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.