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Finding the Fourth Proportional to 220,949.12, 304,812.78 and 149,303

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Solution

The fourth proportional to 220,949.12, 304,812.78 and 149,303 is: 205,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,949.12 : 304,812.78 = 149,303 : x
  2. Step 2: Convert to fraction form
    220,949.12/304,812.78 = 149,303/x
  3. Step 3: Cross multiply
    220,949.12x = 304,812.78 × 149,303
  4. Step 4: Simplify right side
    220,949.12x = 45,509,462,492.34
  5. Step 5: Solve for x
    x = 45,509,462,492.34/220,949.12
  6. Step 6: Final answer
    x = 205,972.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.