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Finding the Fourth Proportional to 213,866.34, 295,172.15 and 123,206.09

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Solution

The fourth proportional to 213,866.34, 295,172.15 and 123,206.09 is: 170,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,866.34 : 295,172.15 = 123,206.09 : x
  2. Step 2: Convert to fraction form
    213,866.34/295,172.15 = 123,206.09/x
  3. Step 3: Cross multiply
    213,866.34x = 295,172.15 × 123,206.09
  4. Step 4: Simplify right side
    213,866.34x = 36,367,004,386.50
  5. Step 5: Solve for x
    x = 36,367,004,386.50/213,866.34
  6. Step 6: Final answer
    x = 170,045.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.