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Finding the Fourth Proportional to 97,576.88, 146,015.40 and 84,474.32

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Solution

The fourth proportional to 97,576.88, 146,015.40 and 84,474.32 is: 126,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,576.88 : 146,015.40 = 84,474.32 : x
  2. Step 2: Convert to fraction form
    97,576.88/146,015.40 = 84,474.32/x
  3. Step 3: Cross multiply
    97,576.88x = 146,015.40 × 84,474.32
  4. Step 4: Simplify right side
    97,576.88x = 12,334,551,624.53
  5. Step 5: Solve for x
    x = 12,334,551,624.53/97,576.88
  6. Step 6: Final answer
    x = 126,408.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.