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Finding the Fourth Proportional to 281,464.90, 422,504.55 and 157,048.90

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Solution

The fourth proportional to 281,464.90, 422,504.55 and 157,048.90 is: 235,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,464.90 : 422,504.55 = 157,048.90 : x
  2. Step 2: Convert to fraction form
    281,464.90/422,504.55 = 157,048.90/x
  3. Step 3: Cross multiply
    281,464.90x = 422,504.55 × 157,048.90
  4. Step 4: Simplify right side
    281,464.90x = 66,353,874,822.50
  5. Step 5: Solve for x
    x = 66,353,874,822.50/281,464.90
  6. Step 6: Final answer
    x = 235,744.76

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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.