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Finding the Fourth Proportional to 209,420.67, 311,762.40 and 208,175.12

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Solution

The fourth proportional to 209,420.67, 311,762.40 and 208,175.12 is: 309,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,420.67 : 311,762.40 = 208,175.12 : x
  2. Step 2: Convert to fraction form
    209,420.67/311,762.40 = 208,175.12/x
  3. Step 3: Cross multiply
    209,420.67x = 311,762.40 × 208,175.12
  4. Step 4: Simplify right side
    209,420.67x = 64,901,173,472.68
  5. Step 5: Solve for x
    x = 64,901,173,472.68/209,420.67
  6. Step 6: Final answer
    x = 309,908.16

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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.