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Finding the Fourth Proportional to 194,928.54, 292,403.16 and 54,698.10

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Solution

The fourth proportional to 194,928.54, 292,403.16 and 54,698.10 is: 82,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,928.54 : 292,403.16 = 54,698.10 : x
  2. Step 2: Convert to fraction form
    194,928.54/292,403.16 = 54,698.10/x
  3. Step 3: Cross multiply
    194,928.54x = 292,403.16 × 54,698.10
  4. Step 4: Simplify right side
    194,928.54x = 15,993,897,286.00
  5. Step 5: Solve for x
    x = 15,993,897,286.00/194,928.54
  6. Step 6: Final answer
    x = 82,050.05

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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.