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Finding the Fourth Proportional to 301,177.98, 451,769.76 and 98,771.13

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Solution

The fourth proportional to 301,177.98, 451,769.76 and 98,771.13 is: 148,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,177.98 : 451,769.76 = 98,771.13 : x
  2. Step 2: Convert to fraction form
    301,177.98/451,769.76 = 98,771.13/x
  3. Step 3: Cross multiply
    301,177.98x = 451,769.76 × 98,771.13
  4. Step 4: Simplify right side
    301,177.98x = 44,621,809,695.03
  5. Step 5: Solve for x
    x = 44,621,809,695.03/301,177.98
  6. Step 6: Final answer
    x = 148,157.61

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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.