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Finding the Fourth Proportional to 212,021.40, 318,032.10 and 165,365.40

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Solution

The fourth proportional to 212,021.40, 318,032.10 and 165,365.40 is: 248,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,021.40 : 318,032.10 = 165,365.40 : x
  2. Step 2: Convert to fraction form
    212,021.40/318,032.10 = 165,365.40/x
  3. Step 3: Cross multiply
    212,021.40x = 318,032.10 × 165,365.40
  4. Step 4: Simplify right side
    212,021.40x = 52,591,505,429.34
  5. Step 5: Solve for x
    x = 52,591,505,429.34/212,021.40
  6. Step 6: Final answer
    x = 248,048.10

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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.