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Finding the Fourth Proportional to 164,414.60, 246,621.90 and 157,853.60

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Solution

The fourth proportional to 164,414.60, 246,621.90 and 157,853.60 is: 236,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,414.60 : 246,621.90 = 157,853.60 : x
  2. Step 2: Convert to fraction form
    164,414.60/246,621.90 = 157,853.60/x
  3. Step 3: Cross multiply
    164,414.60x = 246,621.90 × 157,853.60
  4. Step 4: Simplify right side
    164,414.60x = 38,930,154,753.84
  5. Step 5: Solve for x
    x = 38,930,154,753.84/164,414.60
  6. Step 6: Final answer
    x = 236,780.40

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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.