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Finding the Fourth Proportional to 172,561.96, 258,493.02 and 89,281

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Solution

The fourth proportional to 172,561.96, 258,493.02 and 89,281 is: 133,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,561.96 : 258,493.02 = 89,281 : x
  2. Step 2: Convert to fraction form
    172,561.96/258,493.02 = 89,281/x
  3. Step 3: Cross multiply
    172,561.96x = 258,493.02 × 89,281
  4. Step 4: Simplify right side
    172,561.96x = 23,078,515,318.62
  5. Step 5: Solve for x
    x = 23,078,515,318.62/172,561.96
  6. Step 6: Final answer
    x = 133,740.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.