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Finding the Fourth Proportional to 236,233.08, 353,948.67 and 142,542

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Solution

The fourth proportional to 236,233.08, 353,948.67 and 142,542 is: 213,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,233.08 : 353,948.67 = 142,542 : x
  2. Step 2: Convert to fraction form
    236,233.08/353,948.67 = 142,542/x
  3. Step 3: Cross multiply
    236,233.08x = 353,948.67 × 142,542
  4. Step 4: Simplify right side
    236,233.08x = 50,452,551,319.14
  5. Step 5: Solve for x
    x = 50,452,551,319.14/236,233.08
  6. Step 6: Final answer
    x = 213,571.07

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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.