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Finding the Fourth Proportional to 254,509.84, 381,432.66 and 142,185.52

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Solution

The fourth proportional to 254,509.84, 381,432.66 and 142,185.52 is: 213,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,509.84 : 381,432.66 = 142,185.52 : x
  2. Step 2: Convert to fraction form
    254,509.84/381,432.66 = 142,185.52/x
  3. Step 3: Cross multiply
    254,509.84x = 381,432.66 × 142,185.52
  4. Step 4: Simplify right side
    254,509.84x = 54,234,201,107.08
  5. Step 5: Solve for x
    x = 54,234,201,107.08/254,509.84
  6. Step 6: Final answer
    x = 213,092.75

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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.