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Finding the Fourth Proportional to 146,012.01, 218,964.56 and 71,109.69

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Solution

The fourth proportional to 146,012.01, 218,964.56 and 71,109.69 is: 106,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,012.01 : 218,964.56 = 71,109.69 : x
  2. Step 2: Convert to fraction form
    146,012.01/218,964.56 = 71,109.69/x
  3. Step 3: Cross multiply
    146,012.01x = 218,964.56 × 71,109.69
  4. Step 4: Simplify right side
    146,012.01x = 15,570,501,627.04
  5. Step 5: Solve for x
    x = 15,570,501,627.04/146,012.01
  6. Step 6: Final answer
    x = 106,638.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.