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Finding the Fourth Proportional to 82,157.16, 113,343.46 and 60,697.96

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Solution

The fourth proportional to 82,157.16, 113,343.46 and 60,697.96 is: 83,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157.16 : 113,343.46 = 60,697.96 : x
  2. Step 2: Convert to fraction form
    82,157.16/113,343.46 = 60,697.96/x
  3. Step 3: Cross multiply
    82,157.16x = 113,343.46 × 60,697.96
  4. Step 4: Simplify right side
    82,157.16x = 6,879,716,801.34
  5. Step 5: Solve for x
    x = 6,879,716,801.34/82,157.16
  6. Step 6: Final answer
    x = 83,738.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.