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Finding the Fourth Proportional to 160,965.60, 241,447.20 and 48,645.60

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Solution

The fourth proportional to 160,965.60, 241,447.20 and 48,645.60 is: 72,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,965.60 : 241,447.20 = 48,645.60 : x
  2. Step 2: Convert to fraction form
    160,965.60/241,447.20 = 48,645.60/x
  3. Step 3: Cross multiply
    160,965.60x = 241,447.20 × 48,645.60
  4. Step 4: Simplify right side
    160,965.60x = 11,745,343,912.32
  5. Step 5: Solve for x
    x = 11,745,343,912.32/160,965.60
  6. Step 6: Final answer
    x = 72,968.04

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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.