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Finding the Fourth Proportional to 164,530.32, 246,597 and 75,661.96

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Solution

The fourth proportional to 164,530.32, 246,597 and 75,661.96 is: 113,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,530.32 : 246,597 = 75,661.96 : x
  2. Step 2: Convert to fraction form
    164,530.32/246,597 = 75,661.96/x
  3. Step 3: Cross multiply
    164,530.32x = 246,597 × 75,661.96
  4. Step 4: Simplify right side
    164,530.32x = 18,658,012,350.12
  5. Step 5: Solve for x
    x = 18,658,012,350.12/164,530.32
  6. Step 6: Final answer
    x = 113,401.67

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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.