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Finding the Fourth Proportional to 254,051.14, 381,224.30 and 113,809.77

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Solution

The fourth proportional to 254,051.14, 381,224.30 and 113,809.77 is: 170,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.14 : 381,224.30 = 113,809.77 : x
  2. Step 2: Convert to fraction form
    254,051.14/381,224.30 = 113,809.77/x
  3. Step 3: Cross multiply
    254,051.14x = 381,224.30 × 113,809.77
  4. Step 4: Simplify right side
    254,051.14x = 43,387,049,901.41
  5. Step 5: Solve for x
    x = 43,387,049,901.41/254,051.14
  6. Step 6: Final answer
    x = 170,780.77

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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.