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Finding the Fourth Proportional to 333,164.20, 499,811.10 and 96,514.60

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Solution

The fourth proportional to 333,164.20, 499,811.10 and 96,514.60 is: 144,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,164.20 : 499,811.10 = 96,514.60 : x
  2. Step 2: Convert to fraction form
    333,164.20/499,811.10 = 96,514.60/x
  3. Step 3: Cross multiply
    333,164.20x = 499,811.10 × 96,514.60
  4. Step 4: Simplify right side
    333,164.20x = 48,239,068,392.06
  5. Step 5: Solve for x
    x = 48,239,068,392.06/333,164.20
  6. Step 6: Final answer
    x = 144,790.67

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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.