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Finding the Fourth Proportional to 178,408.71, 246,204.34 and 97,836.81

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Solution

The fourth proportional to 178,408.71, 246,204.34 and 97,836.81 is: 135,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,408.71 : 246,204.34 = 97,836.81 : x
  2. Step 2: Convert to fraction form
    178,408.71/246,204.34 = 97,836.81/x
  3. Step 3: Cross multiply
    178,408.71x = 246,204.34 × 97,836.81
  4. Step 4: Simplify right side
    178,408.71x = 24,087,848,104.32
  5. Step 5: Solve for x
    x = 24,087,848,104.32/178,408.71
  6. Step 6: Final answer
    x = 135,014.98

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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.