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Finding the Fourth Proportional to 285,052.77, 427,458.87 and 85,401.54

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Solution

The fourth proportional to 285,052.77, 427,458.87 and 85,401.54 is: 128,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,052.77 : 427,458.87 = 85,401.54 : x
  2. Step 2: Convert to fraction form
    285,052.77/427,458.87 = 85,401.54/x
  3. Step 3: Cross multiply
    285,052.77x = 427,458.87 × 85,401.54
  4. Step 4: Simplify right side
    285,052.77x = 36,505,645,784.66
  5. Step 5: Solve for x
    x = 36,505,645,784.66/285,052.77
  6. Step 6: Final answer
    x = 128,066.27

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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.