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Finding the Fourth Proportional to 226,072.12, 311,968.24 and 130,573.12

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Solution

The fourth proportional to 226,072.12, 311,968.24 and 130,573.12 is: 180,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,072.12 : 311,968.24 = 130,573.12 : x
  2. Step 2: Convert to fraction form
    226,072.12/311,968.24 = 130,573.12/x
  3. Step 3: Cross multiply
    226,072.12x = 311,968.24 × 130,573.12
  4. Step 4: Simplify right side
    226,072.12x = 40,734,666,437.71
  5. Step 5: Solve for x
    x = 40,734,666,437.71/226,072.12
  6. Step 6: Final answer
    x = 180,184.39

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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.