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Finding the Fourth Proportional to 201,289.80, 302,064.30 and 117,049.80

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Solution

The fourth proportional to 201,289.80, 302,064.30 and 117,049.80 is: 175,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,289.80 : 302,064.30 = 117,049.80 : x
  2. Step 2: Convert to fraction form
    201,289.80/302,064.30 = 117,049.80/x
  3. Step 3: Cross multiply
    201,289.80x = 302,064.30 × 117,049.80
  4. Step 4: Simplify right side
    201,289.80x = 35,356,565,902.14
  5. Step 5: Solve for x
    x = 35,356,565,902.14/201,289.80
  6. Step 6: Final answer
    x = 175,650.06

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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.