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Finding the Fourth Proportional to 119,101.14, 178,418.14 and 69,076.15

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Solution

The fourth proportional to 119,101.14, 178,418.14 and 69,076.15 is: 103,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,101.14 : 178,418.14 = 69,076.15 : x
  2. Step 2: Convert to fraction form
    119,101.14/178,418.14 = 69,076.15/x
  3. Step 3: Cross multiply
    119,101.14x = 178,418.14 × 69,076.15
  4. Step 4: Simplify right side
    119,101.14x = 12,324,437,582.63
  5. Step 5: Solve for x
    x = 12,324,437,582.63/119,101.14
  6. Step 6: Final answer
    x = 103,478.75

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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.