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Finding the Fourth Proportional to 333,733.97, 500,783.21 and 141,578.70

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Solution

The fourth proportional to 333,733.97, 500,783.21 and 141,578.70 is: 212,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,733.97 : 500,783.21 = 141,578.70 : x
  2. Step 2: Convert to fraction form
    333,733.97/500,783.21 = 141,578.70/x
  3. Step 3: Cross multiply
    333,733.97x = 500,783.21 × 141,578.70
  4. Step 4: Simplify right side
    333,733.97x = 70,900,235,145.73
  5. Step 5: Solve for x
    x = 70,900,235,145.73/333,733.97
  6. Step 6: Final answer
    x = 212,445.37

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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.