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Finding the Fourth Proportional to 209,420.41, 311,762.03 and 208,174.86

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Solution

The fourth proportional to 209,420.41, 311,762.03 and 208,174.86 is: 309,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,420.41 : 311,762.03 = 208,174.86 : x
  2. Step 2: Convert to fraction form
    209,420.41/311,762.03 = 208,174.86/x
  3. Step 3: Cross multiply
    209,420.41x = 311,762.03 × 208,174.86
  4. Step 4: Simplify right side
    209,420.41x = 64,901,016,948.57
  5. Step 5: Solve for x
    x = 64,901,016,948.57/209,420.41
  6. Step 6: Final answer
    x = 309,907.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.