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Finding the Fourth Proportional to 168,698.24, 232,826.72 and 97,076.80

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Solution

The fourth proportional to 168,698.24, 232,826.72 and 97,076.80 is: 133,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,698.24 : 232,826.72 = 97,076.80 : x
  2. Step 2: Convert to fraction form
    168,698.24/232,826.72 = 97,076.80/x
  3. Step 3: Cross multiply
    168,698.24x = 232,826.72 × 97,076.80
  4. Step 4: Simplify right side
    168,698.24x = 22,602,072,932.10
  5. Step 5: Solve for x
    x = 22,602,072,932.10/168,698.24
  6. Step 6: Final answer
    x = 133,979.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.