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Finding the Fourth Proportional to 172,189.58, 258,284.43 and 53,861.40

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Solution

The fourth proportional to 172,189.58, 258,284.43 and 53,861.40 is: 80,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,189.58 : 258,284.43 = 53,861.40 : x
  2. Step 2: Convert to fraction form
    172,189.58/258,284.43 = 53,861.40/x
  3. Step 3: Cross multiply
    172,189.58x = 258,284.43 × 53,861.40
  4. Step 4: Simplify right side
    172,189.58x = 13,911,560,998.00
  5. Step 5: Solve for x
    x = 13,911,560,998.00/172,189.58
  6. Step 6: Final answer
    x = 80,792.12

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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.