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Finding the Fourth Proportional to 333,196.80, 499,821.12 and 96,542.88

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Solution

The fourth proportional to 333,196.80, 499,821.12 and 96,542.88 is: 144,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,196.80 : 499,821.12 = 96,542.88 : x
  2. Step 2: Convert to fraction form
    333,196.80/499,821.12 = 96,542.88/x
  3. Step 3: Cross multiply
    333,196.80x = 499,821.12 × 96,542.88
  4. Step 4: Simplify right side
    333,196.80x = 48,254,170,409.63
  5. Step 5: Solve for x
    x = 48,254,170,409.63/333,196.80
  6. Step 6: Final answer
    x = 144,821.83

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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.