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Finding the Fourth Proportional to 157,090.70, 235,636.05 and 82,181.90

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Solution

The fourth proportional to 157,090.70, 235,636.05 and 82,181.90 is: 123,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,090.70 : 235,636.05 = 82,181.90 : x
  2. Step 2: Convert to fraction form
    157,090.70/235,636.05 = 82,181.90/x
  3. Step 3: Cross multiply
    157,090.70x = 235,636.05 × 82,181.90
  4. Step 4: Simplify right side
    157,090.70x = 19,365,018,297.50
  5. Step 5: Solve for x
    x = 19,365,018,297.50/157,090.70
  6. Step 6: Final answer
    x = 123,272.85

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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.