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Finding the Fourth Proportional to 201,614.20, 302,421.30 and 154,958.20

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Solution

The fourth proportional to 201,614.20, 302,421.30 and 154,958.20 is: 232,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614.20 : 302,421.30 = 154,958.20 : x
  2. Step 2: Convert to fraction form
    201,614.20/302,421.30 = 154,958.20/x
  3. Step 3: Cross multiply
    201,614.20x = 302,421.30 × 154,958.20
  4. Step 4: Simplify right side
    201,614.20x = 46,862,660,289.66
  5. Step 5: Solve for x
    x = 46,862,660,289.66/201,614.20
  6. Step 6: Final answer
    x = 232,437.30

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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.