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Finding the Fourth Proportional to 174,640.86, 261,774.79 and 99,599.42

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Solution

The fourth proportional to 174,640.86, 261,774.79 and 99,599.42 is: 149,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,640.86 : 261,774.79 = 99,599.42 : x
  2. Step 2: Convert to fraction form
    174,640.86/261,774.79 = 99,599.42/x
  3. Step 3: Cross multiply
    174,640.86x = 261,774.79 × 99,599.42
  4. Step 4: Simplify right side
    174,640.86x = 26,072,617,660.06
  5. Step 5: Solve for x
    x = 26,072,617,660.06/174,640.86
  6. Step 6: Final answer
    x = 149,292.77

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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.