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Finding the Fourth Proportional to 178,485.33, 267,798.08 and 78,575.42

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Solution

The fourth proportional to 178,485.33, 267,798.08 and 78,575.42 is: 117,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,485.33 : 267,798.08 = 78,575.42 : x
  2. Step 2: Convert to fraction form
    178,485.33/267,798.08 = 78,575.42/x
  3. Step 3: Cross multiply
    178,485.33x = 267,798.08 × 78,575.42
  4. Step 4: Simplify right side
    178,485.33x = 21,042,347,182.47
  5. Step 5: Solve for x
    x = 21,042,347,182.47/178,485.33
  6. Step 6: Final answer
    x = 117,893.99

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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.