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Finding the Fourth Proportional to 182,043.74, 251,210 and 100,355.64

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Solution

The fourth proportional to 182,043.74, 251,210 and 100,355.64 is: 138,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,043.74 : 251,210 = 100,355.64 : x
  2. Step 2: Convert to fraction form
    182,043.74/251,210 = 100,355.64/x
  3. Step 3: Cross multiply
    182,043.74x = 251,210 × 100,355.64
  4. Step 4: Simplify right side
    182,043.74x = 25,210,340,324.40
  5. Step 5: Solve for x
    x = 25,210,340,324.40/182,043.74
  6. Step 6: Final answer
    x = 138,485.07

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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.