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Finding the Fourth Proportional to 201,527.30, 301,853.55 and 166,535.30

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Solution

The fourth proportional to 201,527.30, 301,853.55 and 166,535.30 is: 249,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,527.30 : 301,853.55 = 166,535.30 : x
  2. Step 2: Convert to fraction form
    201,527.30/301,853.55 = 166,535.30/x
  3. Step 3: Cross multiply
    201,527.30x = 301,853.55 × 166,535.30
  4. Step 4: Simplify right side
    201,527.30x = 50,269,271,505.32
  5. Step 5: Solve for x
    x = 50,269,271,505.32/201,527.30
  6. Step 6: Final answer
    x = 249,441.50

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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.