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Finding the Fourth Proportional to 182,866.41, 252,367.65 and 102,307.86

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Solution

The fourth proportional to 182,866.41, 252,367.65 and 102,307.86 is: 141,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,866.41 : 252,367.65 = 102,307.86 : x
  2. Step 2: Convert to fraction form
    182,866.41/252,367.65 = 102,307.86/x
  3. Step 3: Cross multiply
    182,866.41x = 252,367.65 × 102,307.86
  4. Step 4: Simplify right side
    182,866.41x = 25,819,194,204.73
  5. Step 5: Solve for x
    x = 25,819,194,204.73/182,866.41
  6. Step 6: Final answer
    x = 141,191.56

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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.