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Finding the Fourth Proportional to 201,873.90, 302,551.65 and 154,893.90

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Solution

The fourth proportional to 201,873.90, 302,551.65 and 154,893.90 is: 232,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,873.90 : 302,551.65 = 154,893.90 : x
  2. Step 2: Convert to fraction form
    201,873.90/302,551.65 = 154,893.90/x
  3. Step 3: Cross multiply
    201,873.90x = 302,551.65 × 154,893.90
  4. Step 4: Simplify right side
    201,873.90x = 46,863,405,019.94
  5. Step 5: Solve for x
    x = 46,863,405,019.94/201,873.90
  6. Step 6: Final answer
    x = 232,141.97

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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.