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Finding the Fourth Proportional to 106,329.87, 146,735.64 and 58,582.20

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Solution

The fourth proportional to 106,329.87, 146,735.64 and 58,582.20 is: 80,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,329.87 : 146,735.64 = 58,582.20 : x
  2. Step 2: Convert to fraction form
    106,329.87/146,735.64 = 58,582.20/x
  3. Step 3: Cross multiply
    106,329.87x = 146,735.64 × 58,582.20
  4. Step 4: Simplify right side
    106,329.87x = 8,596,096,609.61
  5. Step 5: Solve for x
    x = 8,596,096,609.61/106,329.87
  6. Step 6: Final answer
    x = 80,843.67

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1.5x scale

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.