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Finding the Fourth Proportional to 182,403.83, 251,706.78 and 101,836.47

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Solution

The fourth proportional to 182,403.83, 251,706.78 and 101,836.47 is: 140,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,403.83 : 251,706.78 = 101,836.47 : x
  2. Step 2: Convert to fraction form
    182,403.83/251,706.78 = 101,836.47/x
  3. Step 3: Cross multiply
    182,403.83x = 251,706.78 × 101,836.47
  4. Step 4: Simplify right side
    182,403.83x = 25,632,929,950.27
  5. Step 5: Solve for x
    x = 25,632,929,950.27/182,403.83
  6. Step 6: Final answer
    x = 140,528.47

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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.