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Finding the Fourth Proportional to 181,564.50, 250,559.01 and 102,076.50

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Solution

The fourth proportional to 181,564.50, 250,559.01 and 102,076.50 is: 140,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,564.50 : 250,559.01 = 102,076.50 : x
  2. Step 2: Convert to fraction form
    181,564.50/250,559.01 = 102,076.50/x
  3. Step 3: Cross multiply
    181,564.50x = 250,559.01 × 102,076.50
  4. Step 4: Simplify right side
    181,564.50x = 25,576,186,784.27
  5. Step 5: Solve for x
    x = 25,576,186,784.27/181,564.50
  6. Step 6: Final answer
    x = 140,865.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.