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Finding the Fourth Proportional to 301,999.31, 416,761.85 and 166,034.21

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Solution

The fourth proportional to 301,999.31, 416,761.85 and 166,034.21 is: 229,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,999.31 : 416,761.85 = 166,034.21 : x
  2. Step 2: Convert to fraction form
    301,999.31/416,761.85 = 166,034.21/x
  3. Step 3: Cross multiply
    301,999.31x = 416,761.85 × 166,034.21
  4. Step 4: Simplify right side
    301,999.31x = 69,196,724,522.89
  5. Step 5: Solve for x
    x = 69,196,724,522.89/301,999.31
  6. Step 6: Final answer
    x = 229,128.75

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1.5x scale

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.