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Finding the Fourth Proportional to 209,448.17, 311,803.16 and 208,202.60

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Solution

The fourth proportional to 209,448.17, 311,803.16 and 208,202.60 is: 309,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,448.17 : 311,803.16 = 208,202.60 : x
  2. Step 2: Convert to fraction form
    209,448.17/311,803.16 = 208,202.60/x
  3. Step 3: Cross multiply
    209,448.17x = 311,803.16 × 208,202.60
  4. Step 4: Simplify right side
    209,448.17x = 64,918,228,600.22
  5. Step 5: Solve for x
    x = 64,918,228,600.22/209,448.17
  6. Step 6: Final answer
    x = 309,948.89

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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.