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Finding the Fourth Proportional to 201,864.30, 302,468.40 and 168,403.20

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Solution

The fourth proportional to 201,864.30, 302,468.40 and 168,403.20 is: 252,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864.30 : 302,468.40 = 168,403.20 : x
  2. Step 2: Convert to fraction form
    201,864.30/302,468.40 = 168,403.20/x
  3. Step 3: Cross multiply
    201,864.30x = 302,468.40 × 168,403.20
  4. Step 4: Simplify right side
    201,864.30x = 50,936,646,458.88
  5. Step 5: Solve for x
    x = 50,936,646,458.88/201,864.30
  6. Step 6: Final answer
    x = 252,331.13

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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.