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Finding the Fourth Proportional to 201,835.80, 302,316.30 and 166,843.80

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Solution

The fourth proportional to 201,835.80, 302,316.30 and 166,843.80 is: 249,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,835.80 : 302,316.30 = 166,843.80 : x
  2. Step 2: Convert to fraction form
    201,835.80/302,316.30 = 166,843.80/x
  3. Step 3: Cross multiply
    201,835.80x = 302,316.30 × 166,843.80
  4. Step 4: Simplify right side
    201,835.80x = 50,439,600,293.94
  5. Step 5: Solve for x
    x = 50,439,600,293.94/201,835.80
  6. Step 6: Final answer
    x = 249,904.13

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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.