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Finding the Fourth Proportional to 201,162.50, 301,743.78 and 53,418.50

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Solution

The fourth proportional to 201,162.50, 301,743.78 and 53,418.50 is: 80,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,162.50 : 301,743.78 = 53,418.50 : x
  2. Step 2: Convert to fraction form
    201,162.50/301,743.78 = 53,418.50/x
  3. Step 3: Cross multiply
    201,162.50x = 301,743.78 × 53,418.50
  4. Step 4: Simplify right side
    201,162.50x = 16,118,700,111.93
  5. Step 5: Solve for x
    x = 16,118,700,111.93/201,162.50
  6. Step 6: Final answer
    x = 80,127.76

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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.