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Finding the Fourth Proportional to 201,530.30, 301,858.05 and 166,538.30

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Solution

The fourth proportional to 201,530.30, 301,858.05 and 166,538.30 is: 249,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530.30 : 301,858.05 = 166,538.30 : x
  2. Step 2: Convert to fraction form
    201,530.30/301,858.05 = 166,538.30/x
  3. Step 3: Cross multiply
    201,530.30x = 301,858.05 × 166,538.30
  4. Step 4: Simplify right side
    201,530.30x = 50,270,926,488.32
  5. Step 5: Solve for x
    x = 50,270,926,488.32/201,530.30
  6. Step 6: Final answer
    x = 249,446.00

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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.