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Finding the Fourth Proportional to 201,338.62, 302,000.94 and 51,580.37

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Solution

The fourth proportional to 201,338.62, 302,000.94 and 51,580.37 is: 77,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,338.62 : 302,000.94 = 51,580.37 : x
  2. Step 2: Convert to fraction form
    201,338.62/302,000.94 = 51,580.37/x
  3. Step 3: Cross multiply
    201,338.62x = 302,000.94 × 51,580.37
  4. Step 4: Simplify right side
    201,338.62x = 15,577,320,980.55
  5. Step 5: Solve for x
    x = 15,577,320,980.55/201,338.62
  6. Step 6: Final answer
    x = 77,368.77

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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.