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Finding the Fourth Proportional to 201,093.10, 301,639.38 and 51,333.38

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Solution

The fourth proportional to 201,093.10, 301,639.38 and 51,333.38 is: 77,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,093.10 : 301,639.38 = 51,333.38 : x
  2. Step 2: Convert to fraction form
    201,093.10/301,639.38 = 51,333.38/x
  3. Step 3: Cross multiply
    201,093.10x = 301,639.38 × 51,333.38
  4. Step 4: Simplify right side
    201,093.10x = 15,484,168,346.96
  5. Step 5: Solve for x
    x = 15,484,168,346.96/201,093.10
  6. Step 6: Final answer
    x = 77,000.00

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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.