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Finding the Fourth Proportional to 301,054.92, 451,266.30 and 101,305.98

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Solution

The fourth proportional to 301,054.92, 451,266.30 and 101,305.98 is: 151,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,054.92 : 451,266.30 = 101,305.98 : x
  2. Step 2: Convert to fraction form
    301,054.92/451,266.30 = 101,305.98/x
  3. Step 3: Cross multiply
    301,054.92x = 451,266.30 × 101,305.98
  4. Step 4: Simplify right side
    301,054.92x = 45,715,974,762.47
  5. Step 5: Solve for x
    x = 45,715,974,762.47/301,054.92
  6. Step 6: Final answer
    x = 151,852.61

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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.