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Finding the Fourth Proportional to 209,421.67, 311,763.89 and 208,176.11

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Solution

The fourth proportional to 209,421.67, 311,763.89 and 208,176.11 is: 309,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,421.67 : 311,763.89 = 208,176.11 : x
  2. Step 2: Convert to fraction form
    209,421.67/311,763.89 = 208,176.11/x
  3. Step 3: Cross multiply
    209,421.67x = 311,763.89 × 208,176.11
  4. Step 4: Simplify right side
    209,421.67x = 64,901,795,158.52
  5. Step 5: Solve for x
    x = 64,901,795,158.52/209,421.67
  6. Step 6: Final answer
    x = 309,909.65

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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.