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Finding the Fourth Proportional to 162,412.96, 243,622.14 and 57,233.20

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Solution

The fourth proportional to 162,412.96, 243,622.14 and 57,233.20 is: 85,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,412.96 : 243,622.14 = 57,233.20 : x
  2. Step 2: Convert to fraction form
    162,412.96/243,622.14 = 57,233.20/x
  3. Step 3: Cross multiply
    162,412.96x = 243,622.14 × 57,233.20
  4. Step 4: Simplify right side
    162,412.96x = 13,943,274,663.05
  5. Step 5: Solve for x
    x = 13,943,274,663.05/162,412.96
  6. Step 6: Final answer
    x = 85,850.75

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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.