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Finding the Fourth Proportional to 178,252.16, 267,421.98 and 51,893.54

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Solution

The fourth proportional to 178,252.16, 267,421.98 and 51,893.54 is: 77,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252.16 : 267,421.98 = 51,893.54 : x
  2. Step 2: Convert to fraction form
    178,252.16/267,421.98 = 51,893.54/x
  3. Step 3: Cross multiply
    178,252.16x = 267,421.98 × 51,893.54
  4. Step 4: Simplify right side
    178,252.16x = 13,877,473,076.33
  5. Step 5: Solve for x
    x = 13,877,473,076.33/178,252.16
  6. Step 6: Final answer
    x = 77,853.04

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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.