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Finding the Fourth Proportional to 178,282.62, 267,381 and 51,888.60

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Solution

The fourth proportional to 178,282.62, 267,381 and 51,888.60 is: 77,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,282.62 : 267,381 = 51,888.60 : x
  2. Step 2: Convert to fraction form
    178,282.62/267,381 = 51,888.60/x
  3. Step 3: Cross multiply
    178,282.62x = 267,381 × 51,888.60
  4. Step 4: Simplify right side
    178,282.62x = 13,874,025,756.60
  5. Step 5: Solve for x
    x = 13,874,025,756.60/178,282.62
  6. Step 6: Final answer
    x = 77,820.41

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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.