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Finding the Fourth Proportional to 182,459.38, 251,722.44 and 105,965.40

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Solution

The fourth proportional to 182,459.38, 251,722.44 and 105,965.40 is: 146,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,459.38 : 251,722.44 = 105,965.40 : x
  2. Step 2: Convert to fraction form
    182,459.38/251,722.44 = 105,965.40/x
  3. Step 3: Cross multiply
    182,459.38x = 251,722.44 × 105,965.40
  4. Step 4: Simplify right side
    182,459.38x = 26,673,869,043.58
  5. Step 5: Solve for x
    x = 26,673,869,043.58/182,459.38
  6. Step 6: Final answer
    x = 146,190.72

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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.