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Finding the Fourth Proportional to 137,892.55, 206,647.46 and 62,829.25

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Solution

The fourth proportional to 137,892.55, 206,647.46 and 62,829.25 is: 94,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,892.55 : 206,647.46 = 62,829.25 : x
  2. Step 2: Convert to fraction form
    137,892.55/206,647.46 = 62,829.25/x
  3. Step 3: Cross multiply
    137,892.55x = 206,647.46 × 62,829.25
  4. Step 4: Simplify right side
    137,892.55x = 12,983,504,926.21
  5. Step 5: Solve for x
    x = 12,983,504,926.21/137,892.55
  6. Step 6: Final answer
    x = 94,156.68

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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.