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Finding the Fourth Proportional to 201,101.34, 301,651.74 and 51,341.64

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Solution

The fourth proportional to 201,101.34, 301,651.74 and 51,341.64 is: 77,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,101.34 : 301,651.74 = 51,341.64 : x
  2. Step 2: Convert to fraction form
    201,101.34/301,651.74 = 51,341.64/x
  3. Step 3: Cross multiply
    201,101.34x = 301,651.74 × 51,341.64
  4. Step 4: Simplify right side
    201,101.34x = 15,487,295,040.45
  5. Step 5: Solve for x
    x = 15,487,295,040.45/201,101.34
  6. Step 6: Final answer
    x = 77,012.39

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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.