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Finding the Fourth Proportional to 232,452, 320,419.83 and 151,839.18

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Solution

The fourth proportional to 232,452, 320,419.83 and 151,839.18 is: 209,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,452 : 320,419.83 = 151,839.18 : x
  2. Step 2: Convert to fraction form
    232,452/320,419.83 = 151,839.18/x
  3. Step 3: Cross multiply
    232,452x = 320,419.83 × 151,839.18
  4. Step 4: Simplify right side
    232,452x = 48,652,284,242.94
  5. Step 5: Solve for x
    x = 48,652,284,242.94/232,452
  6. Step 6: Final answer
    x = 209,300.35

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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.