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Finding the Fourth Proportional to 165,612.70, 248,419.05 and 146,585.80

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Solution

The fourth proportional to 165,612.70, 248,419.05 and 146,585.80 is: 219,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,612.70 : 248,419.05 = 146,585.80 : x
  2. Step 2: Convert to fraction form
    165,612.70/248,419.05 = 146,585.80/x
  3. Step 3: Cross multiply
    165,612.70x = 248,419.05 × 146,585.80
  4. Step 4: Simplify right side
    165,612.70x = 36,414,705,179.49
  5. Step 5: Solve for x
    x = 36,414,705,179.49/165,612.70
  6. Step 6: Final answer
    x = 219,878.70

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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.