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Finding the Fourth Proportional to 226,912.30, 340,477.80 and 160,208.80

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Solution

The fourth proportional to 226,912.30, 340,477.80 and 160,208.80 is: 240,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,912.30 : 340,477.80 = 160,208.80 : x
  2. Step 2: Convert to fraction form
    226,912.30/340,477.80 = 160,208.80/x
  3. Step 3: Cross multiply
    226,912.30x = 340,477.80 × 160,208.80
  4. Step 4: Simplify right side
    226,912.30x = 54,547,539,764.64
  5. Step 5: Solve for x
    x = 54,547,539,764.64/226,912.30
  6. Step 6: Final answer
    x = 240,390.41

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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.