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Finding the Fourth Proportional to 301,403.80, 452,181.30 and 132,956.20

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Solution

The fourth proportional to 301,403.80, 452,181.30 and 132,956.20 is: 199,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,403.80 : 452,181.30 = 132,956.20 : x
  2. Step 2: Convert to fraction form
    301,403.80/452,181.30 = 132,956.20/x
  3. Step 3: Cross multiply
    301,403.80x = 452,181.30 × 132,956.20
  4. Step 4: Simplify right side
    301,403.80x = 60,120,307,359.06
  5. Step 5: Solve for x
    x = 60,120,307,359.06/301,403.80
  6. Step 6: Final answer
    x = 199,467.65

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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.