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Finding the Fourth Proportional to 178,120.89, 267,198.88 and 51,762.24

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Solution

The fourth proportional to 178,120.89, 267,198.88 and 51,762.24 is: 77,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,120.89 : 267,198.88 = 51,762.24 : x
  2. Step 2: Convert to fraction form
    178,120.89/267,198.88 = 51,762.24/x
  3. Step 3: Cross multiply
    178,120.89x = 267,198.88 × 51,762.24
  4. Step 4: Simplify right side
    178,120.89x = 13,830,811,218.30
  5. Step 5: Solve for x
    x = 13,830,811,218.30/178,120.89
  6. Step 6: Final answer
    x = 77,648.45

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1.5x scale

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.