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Finding the Fourth Proportional to 301,133.40, 451,700.10 and 160,819.80

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Solution

The fourth proportional to 301,133.40, 451,700.10 and 160,819.80 is: 241,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,133.40 : 451,700.10 = 160,819.80 : x
  2. Step 2: Convert to fraction form
    301,133.40/451,700.10 = 160,819.80/x
  3. Step 3: Cross multiply
    301,133.40x = 451,700.10 × 160,819.80
  4. Step 4: Simplify right side
    301,133.40x = 72,642,319,741.98
  5. Step 5: Solve for x
    x = 72,642,319,741.98/301,133.40
  6. Step 6: Final answer
    x = 241,229.70

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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.