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Finding the Fourth Proportional to 102,936.84, 142,055.36 and 57,614.44

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Solution

The fourth proportional to 102,936.84, 142,055.36 and 57,614.44 is: 79,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936.84 : 142,055.36 = 57,614.44 : x
  2. Step 2: Convert to fraction form
    102,936.84/142,055.36 = 57,614.44/x
  3. Step 3: Cross multiply
    102,936.84x = 142,055.36 × 57,614.44
  4. Step 4: Simplify right side
    102,936.84x = 8,184,440,015.40
  5. Step 5: Solve for x
    x = 8,184,440,015.40/102,936.84
  6. Step 6: Final answer
    x = 79,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.