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Finding the Fourth Proportional to 254,503.20, 381,428.40 and 142,183.20

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Solution

The fourth proportional to 254,503.20, 381,428.40 and 142,183.20 is: 213,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,503.20 : 381,428.40 = 142,183.20 : x
  2. Step 2: Convert to fraction form
    254,503.20/381,428.40 = 142,183.20/x
  3. Step 3: Cross multiply
    254,503.20x = 381,428.40 × 142,183.20
  4. Step 4: Simplify right side
    254,503.20x = 54,232,710,482.88
  5. Step 5: Solve for x
    x = 54,232,710,482.88/254,503.20
  6. Step 6: Final answer
    x = 213,092.45

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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.