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Finding the Fourth Proportional to 333,207.60, 499,358.42 and 140,922.15

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Solution

The fourth proportional to 333,207.60, 499,358.42 and 140,922.15 is: 211,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,207.60 : 499,358.42 = 140,922.15 : x
  2. Step 2: Convert to fraction form
    333,207.60/499,358.42 = 140,922.15/x
  3. Step 3: Cross multiply
    333,207.60x = 499,358.42 × 140,922.15
  4. Step 4: Simplify right side
    333,207.60x = 70,370,664,331.59
  5. Step 5: Solve for x
    x = 70,370,664,331.59/333,207.60
  6. Step 6: Final answer
    x = 211,191.66

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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.