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Finding the Fourth Proportional to 182,087.16, 251,274.79 and 100,415.38

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Solution

The fourth proportional to 182,087.16, 251,274.79 and 100,415.38 is: 138,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,087.16 : 251,274.79 = 100,415.38 : x
  2. Step 2: Convert to fraction form
    182,087.16/251,274.79 = 100,415.38/x
  3. Step 3: Cross multiply
    182,087.16x = 251,274.79 × 100,415.38
  4. Step 4: Simplify right side
    182,087.16x = 25,231,853,490.74
  5. Step 5: Solve for x
    x = 25,231,853,490.74/182,087.16
  6. Step 6: Final answer
    x = 138,570.20

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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.