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Finding the Fourth Proportional to 201,815.70, 302,140.35 and 123,083.70

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Solution

The fourth proportional to 201,815.70, 302,140.35 and 123,083.70 is: 184,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,815.70 : 302,140.35 = 123,083.70 : x
  2. Step 2: Convert to fraction form
    201,815.70/302,140.35 = 123,083.70/x
  3. Step 3: Cross multiply
    201,815.70x = 302,140.35 × 123,083.70
  4. Step 4: Simplify right side
    201,815.70x = 37,188,552,197.30
  5. Step 5: Solve for x
    x = 37,188,552,197.30/201,815.70
  6. Step 6: Final answer
    x = 184,269.87

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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.