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Finding the Fourth Proportional to 301,162.05, 451,627.92 and 101,428.74

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Solution

The fourth proportional to 301,162.05, 451,627.92 and 101,428.74 is: 152,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,162.05 : 451,627.92 = 101,428.74 : x
  2. Step 2: Convert to fraction form
    301,162.05/451,627.92 = 101,428.74/x
  3. Step 3: Cross multiply
    301,162.05x = 451,627.92 × 101,428.74
  4. Step 4: Simplify right side
    301,162.05x = 45,808,050,874.42
  5. Step 5: Solve for x
    x = 45,808,050,874.42/301,162.05
  6. Step 6: Final answer
    x = 152,104.33

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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.