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Finding the Fourth Proportional to 201,270.63, 301,902.84 and 51,509.64

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Solution

The fourth proportional to 201,270.63, 301,902.84 and 51,509.64 is: 77,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270.63 : 301,902.84 = 51,509.64 : x
  2. Step 2: Convert to fraction form
    201,270.63/301,902.84 = 51,509.64/x
  3. Step 3: Cross multiply
    201,270.63x = 301,902.84 × 51,509.64
  4. Step 4: Simplify right side
    201,270.63x = 15,550,906,603.38
  5. Step 5: Solve for x
    x = 15,550,906,603.38/201,270.63
  6. Step 6: Final answer
    x = 77,263.67

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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.