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Finding the Fourth Proportional to 174,612.42, 261,916.74 and 123,109.11

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Solution

The fourth proportional to 174,612.42, 261,916.74 and 123,109.11 is: 184,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612.42 : 261,916.74 = 123,109.11 : x
  2. Step 2: Convert to fraction form
    174,612.42/261,916.74 = 123,109.11/x
  3. Step 3: Cross multiply
    174,612.42x = 261,916.74 × 123,109.11
  4. Step 4: Simplify right side
    174,612.42x = 32,244,336,755.50
  5. Step 5: Solve for x
    x = 32,244,336,755.50/174,612.42
  6. Step 6: Final answer
    x = 184,662.33

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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.