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Finding the Fourth Proportional to 300,166, 414,242.04 and 166,030

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Solution

The fourth proportional to 300,166, 414,242.04 and 166,030 is: 229,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,166 : 414,242.04 = 166,030 : x
  2. Step 2: Convert to fraction form
    300,166/414,242.04 = 166,030/x
  3. Step 3: Cross multiply
    300,166x = 414,242.04 × 166,030
  4. Step 4: Simplify right side
    300,166x = 68,776,605,901.20
  5. Step 5: Solve for x
    x = 68,776,605,901.20/300,166
  6. Step 6: Final answer
    x = 229,128.57

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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.