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Finding the Fourth Proportional to 301,241.16, 451,546.46 and 101,492.54

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Solution

The fourth proportional to 301,241.16, 451,546.46 and 101,492.54 is: 152,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,241.16 : 451,546.46 = 101,492.54 : x
  2. Step 2: Convert to fraction form
    301,241.16/451,546.46 = 101,492.54/x
  3. Step 3: Cross multiply
    301,241.16x = 451,546.46 × 101,492.54
  4. Step 4: Simplify right side
    301,241.16x = 45,828,597,153.41
  5. Step 5: Solve for x
    x = 45,828,597,153.41/301,241.16
  6. Step 6: Final answer
    x = 152,132.59

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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.