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Finding the Fourth Proportional to 182,580.54, 251,956.49 and 102,008.67

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Solution

The fourth proportional to 182,580.54, 251,956.49 and 102,008.67 is: 140,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,580.54 : 251,956.49 = 102,008.67 : x
  2. Step 2: Convert to fraction form
    182,580.54/251,956.49 = 102,008.67/x
  3. Step 3: Cross multiply
    182,580.54x = 251,956.49 × 102,008.67
  4. Step 4: Simplify right side
    182,580.54x = 25,701,746,442.77
  5. Step 5: Solve for x
    x = 25,701,746,442.77/182,580.54
  6. Step 6: Final answer
    x = 140,769.36

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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.