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Finding the Fourth Proportional to 201,856.80, 302,347.80 and 166,864.80

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Solution

The fourth proportional to 201,856.80, 302,347.80 and 166,864.80 is: 249,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.80 : 302,347.80 = 166,864.80 : x
  2. Step 2: Convert to fraction form
    201,856.80/302,347.80 = 166,864.80/x
  3. Step 3: Cross multiply
    201,856.80x = 302,347.80 × 166,864.80
  4. Step 4: Simplify right side
    201,856.80x = 50,451,205,177.44
  5. Step 5: Solve for x
    x = 50,451,205,177.44/201,856.80
  6. Step 6: Final answer
    x = 249,935.62

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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.