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Finding the Fourth Proportional to 218,147.23, 300,942.12 and 127,507.02

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Solution

The fourth proportional to 218,147.23, 300,942.12 and 127,507.02 is: 175,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,147.23 : 300,942.12 = 127,507.02 : x
  2. Step 2: Convert to fraction form
    218,147.23/300,942.12 = 127,507.02/x
  3. Step 3: Cross multiply
    218,147.23x = 300,942.12 × 127,507.02
  4. Step 4: Simplify right side
    218,147.23x = 38,372,232,913.68
  5. Step 5: Solve for x
    x = 38,372,232,913.68/218,147.23
  6. Step 6: Final answer
    x = 175,900.62

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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.