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Finding the Fourth Proportional to 308,052.56, 461,962.20 and 120,962

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Solution

The fourth proportional to 308,052.56, 461,962.20 and 120,962 is: 181,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,052.56 : 461,962.20 = 120,962 : x
  2. Step 2: Convert to fraction form
    308,052.56/461,962.20 = 120,962/x
  3. Step 3: Cross multiply
    308,052.56x = 461,962.20 × 120,962
  4. Step 4: Simplify right side
    308,052.56x = 55,879,871,636.40
  5. Step 5: Solve for x
    x = 55,879,871,636.40/308,052.56
  6. Step 6: Final answer
    x = 181,397.20

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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.