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Finding the Fourth Proportional to 301,221.54, 451,701.06 and 101,504.70

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Solution

The fourth proportional to 301,221.54, 451,701.06 and 101,504.70 is: 152,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,221.54 : 451,701.06 = 101,504.70 : x
  2. Step 2: Convert to fraction form
    301,221.54/451,701.06 = 101,504.70/x
  3. Step 3: Cross multiply
    301,221.54x = 451,701.06 × 101,504.70
  4. Step 4: Simplify right side
    301,221.54x = 45,849,780,584.98
  5. Step 5: Solve for x
    x = 45,849,780,584.98/301,221.54
  6. Step 6: Final answer
    x = 152,212.82

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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.