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Finding the Fourth Proportional to 182,270.18, 251,533.14 and 100,596.54

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Solution

The fourth proportional to 182,270.18, 251,533.14 and 100,596.54 is: 138,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,270.18 : 251,533.14 = 100,596.54 : x
  2. Step 2: Convert to fraction form
    182,270.18/251,533.14 = 100,596.54/x
  3. Step 3: Cross multiply
    182,270.18x = 251,533.14 × 100,596.54
  4. Step 4: Simplify right side
    182,270.18x = 25,303,363,579.34
  5. Step 5: Solve for x
    x = 25,303,363,579.34/182,270.18
  6. Step 6: Final answer
    x = 138,823.39

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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.