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Finding the Fourth Proportional to 301,158.32, 451,746.60 and 76,518.77

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Solution

The fourth proportional to 301,158.32, 451,746.60 and 76,518.77 is: 114,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,158.32 : 451,746.60 = 76,518.77 : x
  2. Step 2: Convert to fraction form
    301,158.32/451,746.60 = 76,518.77/x
  3. Step 3: Cross multiply
    301,158.32x = 451,746.60 × 76,518.77
  4. Step 4: Simplify right side
    301,158.32x = 34,567,094,183.68
  5. Step 5: Solve for x
    x = 34,567,094,183.68/301,158.32
  6. Step 6: Final answer
    x = 114,780.47

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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.