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Finding the Fourth Proportional to 106,401.54, 146,835.15 and 58,656.60

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Solution

The fourth proportional to 106,401.54, 146,835.15 and 58,656.60 is: 80,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,401.54 : 146,835.15 = 58,656.60 : x
  2. Step 2: Convert to fraction form
    106,401.54/146,835.15 = 58,656.60/x
  3. Step 3: Cross multiply
    106,401.54x = 146,835.15 × 58,656.60
  4. Step 4: Simplify right side
    106,401.54x = 8,612,850,659.49
  5. Step 5: Solve for x
    x = 8,612,850,659.49/106,401.54
  6. Step 6: Final answer
    x = 80,946.67

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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.