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Finding the Fourth Proportional to 160,232.55, 240,353.73 and 55,050

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Solution

The fourth proportional to 160,232.55, 240,353.73 and 55,050 is: 82,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,232.55 : 240,353.73 = 55,050 : x
  2. Step 2: Convert to fraction form
    160,232.55/240,353.73 = 55,050/x
  3. Step 3: Cross multiply
    160,232.55x = 240,353.73 × 55,050
  4. Step 4: Simplify right side
    160,232.55x = 13,231,472,836.50
  5. Step 5: Solve for x
    x = 13,231,472,836.50/160,232.55
  6. Step 6: Final answer
    x = 82,576.69

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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.