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Finding the Fourth Proportional to 194,858.20, 292,364.10 and 76,509.40

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Solution

The fourth proportional to 194,858.20, 292,364.10 and 76,509.40 is: 114,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,858.20 : 292,364.10 = 76,509.40 : x
  2. Step 2: Convert to fraction form
    194,858.20/292,364.10 = 76,509.40/x
  3. Step 3: Cross multiply
    194,858.20x = 292,364.10 × 76,509.40
  4. Step 4: Simplify right side
    194,858.20x = 22,368,601,872.54
  5. Step 5: Solve for x
    x = 22,368,601,872.54/194,858.20
  6. Step 6: Final answer
    x = 114,794.25

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