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Finding the Fourth Proportional to 209,966.20, 314,949.30 and 209,966.20

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Solution

The fourth proportional to 209,966.20, 314,949.30 and 209,966.20 is: 314,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,966.20 : 314,949.30 = 209,966.20 : x
  2. Step 2: Convert to fraction form
    209,966.20/314,949.30 = 209,966.20/x
  3. Step 3: Cross multiply
    209,966.20x = 314,949.30 × 209,966.20
  4. Step 4: Simplify right side
    209,966.20x = 66,128,707,713.66
  5. Step 5: Solve for x
    x = 66,128,707,713.66/209,966.20
  6. Step 6: Final answer
    x = 314,949.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.