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Finding the Fourth Proportional to 102,959.80, 154,137.30 and 76,780.60

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Solution

The fourth proportional to 102,959.80, 154,137.30 and 76,780.60 is: 114,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.80 : 154,137.30 = 76,780.60 : x
  2. Step 2: Convert to fraction form
    102,959.80/154,137.30 = 76,780.60/x
  3. Step 3: Cross multiply
    102,959.80x = 154,137.30 × 76,780.60
  4. Step 4: Simplify right side
    102,959.80x = 11,834,754,376.38
  5. Step 5: Solve for x
    x = 11,834,754,376.38/102,959.80
  6. Step 6: Final answer
    x = 114,945.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.