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Finding the Fourth Proportional to 182,140.50, 251,353.89 and 102,652.50

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Solution

The fourth proportional to 182,140.50, 251,353.89 and 102,652.50 is: 141,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,140.50 : 251,353.89 = 102,652.50 : x
  2. Step 2: Convert to fraction form
    182,140.50/251,353.89 = 102,652.50/x
  3. Step 3: Cross multiply
    182,140.50x = 251,353.89 × 102,652.50
  4. Step 4: Simplify right side
    182,140.50x = 25,802,105,193.23
  5. Step 5: Solve for x
    x = 25,802,105,193.23/182,140.50
  6. Step 6: Final answer
    x = 141,660.45

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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.