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Finding the Fourth Proportional to 200,668.40, 301,002.60 and 82,300.40

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Solution

The fourth proportional to 200,668.40, 301,002.60 and 82,300.40 is: 123,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,668.40 : 301,002.60 = 82,300.40 : x
  2. Step 2: Convert to fraction form
    200,668.40/301,002.60 = 82,300.40/x
  3. Step 3: Cross multiply
    200,668.40x = 301,002.60 × 82,300.40
  4. Step 4: Simplify right side
    200,668.40x = 24,772,634,381.04
  5. Step 5: Solve for x
    x = 24,772,634,381.04/200,668.40
  6. Step 6: Final answer
    x = 123,450.60

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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.