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Finding the Fourth Proportional to 160,466.40, 240,634.80 and 55,231.20

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Solution

The fourth proportional to 160,466.40, 240,634.80 and 55,231.20 is: 82,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,466.40 : 240,634.80 = 55,231.20 : x
  2. Step 2: Convert to fraction form
    160,466.40/240,634.80 = 55,231.20/x
  3. Step 3: Cross multiply
    160,466.40x = 240,634.80 × 55,231.20
  4. Step 4: Simplify right side
    160,466.40x = 13,290,548,765.76
  5. Step 5: Solve for x
    x = 13,290,548,765.76/160,466.40
  6. Step 6: Final answer
    x = 82,824.50

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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.