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Finding the Fourth Proportional to 151,762.44, 227,668.36 and 57,000

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Solution

The fourth proportional to 151,762.44, 227,668.36 and 57,000 is: 85,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,762.44 : 227,668.36 = 57,000 : x
  2. Step 2: Convert to fraction form
    151,762.44/227,668.36 = 57,000/x
  3. Step 3: Cross multiply
    151,762.44x = 227,668.36 × 57,000
  4. Step 4: Simplify right side
    151,762.44x = 12,977,096,520
  5. Step 5: Solve for x
    x = 12,977,096,520/151,762.44
  6. Step 6: Final answer
    x = 85,509.28

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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.