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Finding the Fourth Proportional to 182,285, 251,513 and 105,759.76

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Solution

The fourth proportional to 182,285, 251,513 and 105,759.76 is: 145,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,285 : 251,513 = 105,759.76 : x
  2. Step 2: Convert to fraction form
    182,285/251,513 = 105,759.76/x
  3. Step 3: Cross multiply
    182,285x = 251,513 × 105,759.76
  4. Step 4: Simplify right side
    182,285x = 26,599,954,516.88
  5. Step 5: Solve for x
    x = 26,599,954,516.88/182,285
  6. Step 6: Final answer
    x = 145,925.09

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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.