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Finding the Fourth Proportional to 182,467.76, 251,750.49 and 105,972.11

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Solution

The fourth proportional to 182,467.76, 251,750.49 and 105,972.11 is: 146,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,467.76 : 251,750.49 = 105,972.11 : x
  2. Step 2: Convert to fraction form
    182,467.76/251,750.49 = 105,972.11/x
  3. Step 3: Cross multiply
    182,467.76x = 251,750.49 × 105,972.11
  4. Step 4: Simplify right side
    182,467.76x = 26,678,531,248.21
  5. Step 5: Solve for x
    x = 26,678,531,248.21/182,467.76
  6. Step 6: Final answer
    x = 146,209.56

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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.