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Finding the Fourth Proportional to 187,774.60, 281,661.90 and 164,446.60

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Solution

The fourth proportional to 187,774.60, 281,661.90 and 164,446.60 is: 246,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,774.60 : 281,661.90 = 164,446.60 : x
  2. Step 2: Convert to fraction form
    187,774.60/281,661.90 = 164,446.60/x
  3. Step 3: Cross multiply
    187,774.60x = 281,661.90 × 164,446.60
  4. Step 4: Simplify right side
    187,774.60x = 46,318,341,804.54
  5. Step 5: Solve for x
    x = 46,318,341,804.54/187,774.60
  6. Step 6: Final answer
    x = 246,669.90

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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.