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Finding the Fourth Proportional to 209,420.54, 311,762.22 and 208,175.00

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Solution

The fourth proportional to 209,420.54, 311,762.22 and 208,175.00 is: 309,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,420.54 : 311,762.22 = 208,175.00 : x
  2. Step 2: Convert to fraction form
    209,420.54/311,762.22 = 208,175.00/x
  3. Step 3: Cross multiply
    209,420.54x = 311,762.22 × 208,175.00
  4. Step 4: Simplify right side
    209,420.54x = 64,901,097,809.03
  5. Step 5: Solve for x
    x = 64,901,097,809.03/209,420.54
  6. Step 6: Final answer
    x = 309,907.99

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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.