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Finding the Fourth Proportional to 187,776.60, 281,664.90 and 164,448.60

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Solution

The fourth proportional to 187,776.60, 281,664.90 and 164,448.60 is: 246,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,776.60 : 281,664.90 = 164,448.60 : x
  2. Step 2: Convert to fraction form
    187,776.60/281,664.90 = 164,448.60/x
  3. Step 3: Cross multiply
    187,776.60x = 281,664.90 × 164,448.60
  4. Step 4: Simplify right side
    187,776.60x = 46,319,398,474.14
  5. Step 5: Solve for x
    x = 46,319,398,474.14/187,776.60
  6. Step 6: Final answer
    x = 246,672.90

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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.