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Finding the Fourth Proportional to 201,576.20, 302,234.70 and 83,294.60

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Solution

The fourth proportional to 201,576.20, 302,234.70 and 83,294.60 is: 124,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,576.20 : 302,234.70 = 83,294.60 : x
  2. Step 2: Convert to fraction form
    201,576.20/302,234.70 = 83,294.60/x
  3. Step 3: Cross multiply
    201,576.20x = 302,234.70 × 83,294.60
  4. Step 4: Simplify right side
    201,576.20x = 25,174,518,442.62
  5. Step 5: Solve for x
    x = 25,174,518,442.62/201,576.20
  6. Step 6: Final answer
    x = 124,888.35

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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.