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Finding the Fourth Proportional to 174,054, 261,105.92 and 66,023.09

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Solution

The fourth proportional to 174,054, 261,105.92 and 66,023.09 is: 99,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,054 : 261,105.92 = 66,023.09 : x
  2. Step 2: Convert to fraction form
    174,054/261,105.92 = 66,023.09/x
  3. Step 3: Cross multiply
    174,054x = 261,105.92 × 66,023.09
  4. Step 4: Simplify right side
    174,054x = 17,239,018,020.05
  5. Step 5: Solve for x
    x = 17,239,018,020.05/174,054
  6. Step 6: Final answer
    x = 99,044.08

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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.