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Finding the Fourth Proportional to 301,091.64, 451,659.36 and 101,412.06

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Solution

The fourth proportional to 301,091.64, 451,659.36 and 101,412.06 is: 152,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,091.64 : 451,659.36 = 101,412.06 : x
  2. Step 2: Convert to fraction form
    301,091.64/451,659.36 = 101,412.06/x
  3. Step 3: Cross multiply
    301,091.64x = 451,659.36 × 101,412.06
  4. Step 4: Simplify right side
    301,091.64x = 45,803,706,115.88
  5. Step 5: Solve for x
    x = 45,803,706,115.88/301,091.64
  6. Step 6: Final answer
    x = 152,125.47

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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.