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Finding the Fourth Proportional to 172,676.50, 259,051.80 and 97,832.50

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Solution

The fourth proportional to 172,676.50, 259,051.80 and 97,832.50 is: 146,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,676.50 : 259,051.80 = 97,832.50 : x
  2. Step 2: Convert to fraction form
    172,676.50/259,051.80 = 97,832.50/x
  3. Step 3: Cross multiply
    172,676.50x = 259,051.80 × 97,832.50
  4. Step 4: Simplify right side
    172,676.50x = 25,343,685,223.50
  5. Step 5: Solve for x
    x = 25,343,685,223.50/172,676.50
  6. Step 6: Final answer
    x = 146,769.74

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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.