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Finding the Fourth Proportional to 220,941.12, 304,801.68 and 149,295

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Solution

The fourth proportional to 220,941.12, 304,801.68 and 149,295 is: 205,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,941.12 : 304,801.68 = 149,295 : x
  2. Step 2: Convert to fraction form
    220,941.12/304,801.68 = 149,295/x
  3. Step 3: Cross multiply
    220,941.12x = 304,801.68 × 149,295
  4. Step 4: Simplify right side
    220,941.12x = 45,505,366,815.60
  5. Step 5: Solve for x
    x = 45,505,366,815.60/220,941.12
  6. Step 6: Final answer
    x = 205,961.51

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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.