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Finding the Fourth Proportional to 160,777.46, 241,200.74 and 54,172

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Solution

The fourth proportional to 160,777.46, 241,200.74 and 54,172 is: 81,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,777.46 : 241,200.74 = 54,172 : x
  2. Step 2: Convert to fraction form
    160,777.46/241,200.74 = 54,172/x
  3. Step 3: Cross multiply
    160,777.46x = 241,200.74 × 54,172
  4. Step 4: Simplify right side
    160,777.46x = 13,066,326,487.28
  5. Step 5: Solve for x
    x = 13,066,326,487.28/160,777.46
  6. Step 6: Final answer
    x = 81,269.64

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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.