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Finding the Fourth Proportional to 201,068.30, 301,711.80 and 82,751.60

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Solution

The fourth proportional to 201,068.30, 301,711.80 and 82,751.60 is: 124,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,068.30 : 301,711.80 = 82,751.60 : x
  2. Step 2: Convert to fraction form
    201,068.30/301,711.80 = 82,751.60/x
  3. Step 3: Cross multiply
    201,068.30x = 301,711.80 × 82,751.60
  4. Step 4: Simplify right side
    201,068.30x = 24,967,134,188.88
  5. Step 5: Solve for x
    x = 24,967,134,188.88/201,068.30
  6. Step 6: Final answer
    x = 124,172.40

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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.