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Finding the Fourth Proportional to 255,957.60, 384,109.20 and 166,994.40

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Solution

The fourth proportional to 255,957.60, 384,109.20 and 166,994.40 is: 250,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,957.60 : 384,109.20 = 166,994.40 : x
  2. Step 2: Convert to fraction form
    255,957.60/384,109.20 = 166,994.40/x
  3. Step 3: Cross multiply
    255,957.60x = 384,109.20 × 166,994.40
  4. Step 4: Simplify right side
    255,957.60x = 64,144,085,388.48
  5. Step 5: Solve for x
    x = 64,144,085,388.48/255,957.60
  6. Step 6: Final answer
    x = 250,604.34

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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.