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Finding the Fourth Proportional to 201,533.80, 301,863.30 and 166,541.80

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Solution

The fourth proportional to 201,533.80, 301,863.30 and 166,541.80 is: 249,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,533.80 : 301,863.30 = 166,541.80 : x
  2. Step 2: Convert to fraction form
    201,533.80/301,863.30 = 166,541.80/x
  3. Step 3: Cross multiply
    201,533.80x = 301,863.30 × 166,541.80
  4. Step 4: Simplify right side
    201,533.80x = 50,272,857,335.94
  5. Step 5: Solve for x
    x = 50,272,857,335.94/201,533.80
  6. Step 6: Final answer
    x = 249,451.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.