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Finding the Fourth Proportional to 105,024.84, 144,932.72 and 57,278.09

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Solution

The fourth proportional to 105,024.84, 144,932.72 and 57,278.09 is: 79,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024.84 : 144,932.72 = 57,278.09 : x
  2. Step 2: Convert to fraction form
    105,024.84/144,932.72 = 57,278.09/x
  3. Step 3: Cross multiply
    105,024.84x = 144,932.72 × 57,278.09
  4. Step 4: Simplify right side
    105,024.84x = 8,301,468,369.05
  5. Step 5: Solve for x
    x = 8,301,468,369.05/105,024.84
  6. Step 6: Final answer
    x = 79,042.90

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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.