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Finding the Fourth Proportional to 198,624.52, 297,939.54 and 110,051.02

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Solution

The fourth proportional to 198,624.52, 297,939.54 and 110,051.02 is: 165,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,624.52 : 297,939.54 = 110,051.02 : x
  2. Step 2: Convert to fraction form
    198,624.52/297,939.54 = 110,051.02/x
  3. Step 3: Cross multiply
    198,624.52x = 297,939.54 × 110,051.02
  4. Step 4: Simplify right side
    198,624.52x = 32,788,550,275.33
  5. Step 5: Solve for x
    x = 32,788,550,275.33/198,624.52
  6. Step 6: Final answer
    x = 165,078.06

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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.