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Finding the Fourth Proportional to 176,097.60, 263,679.84 and 92,816.64

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Solution

The fourth proportional to 176,097.60, 263,679.84 and 92,816.64 is: 138,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,097.60 : 263,679.84 = 92,816.64 : x
  2. Step 2: Convert to fraction form
    176,097.60/263,679.84 = 92,816.64/x
  3. Step 3: Cross multiply
    176,097.60x = 263,679.84 × 92,816.64
  4. Step 4: Simplify right side
    176,097.60x = 24,473,876,784.54
  5. Step 5: Solve for x
    x = 24,473,876,784.54/176,097.60
  6. Step 6: Final answer
    x = 138,979.05

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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.