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Finding the Fourth Proportional to 170,462.24, 255,693.21 and 45,803.24

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Solution

The fourth proportional to 170,462.24, 255,693.21 and 45,803.24 is: 68,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,462.24 : 255,693.21 = 45,803.24 : x
  2. Step 2: Convert to fraction form
    170,462.24/255,693.21 = 45,803.24/x
  3. Step 3: Cross multiply
    170,462.24x = 255,693.21 × 45,803.24
  4. Step 4: Simplify right side
    170,462.24x = 11,711,576,185.53
  5. Step 5: Solve for x
    x = 11,711,576,185.53/170,462.24
  6. Step 6: Final answer
    x = 68,704.81

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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.