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Finding the Fourth Proportional to 255,962.60, 384,116.70 and 166,999.40

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Solution

The fourth proportional to 255,962.60, 384,116.70 and 166,999.40 is: 250,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,962.60 : 384,116.70 = 166,999.40 : x
  2. Step 2: Convert to fraction form
    255,962.60/384,116.70 = 166,999.40/x
  3. Step 3: Cross multiply
    255,962.60x = 384,116.70 × 166,999.40
  4. Step 4: Simplify right side
    255,962.60x = 64,147,258,429.98
  5. Step 5: Solve for x
    x = 64,147,258,429.98/255,962.60
  6. Step 6: Final answer
    x = 250,611.84

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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.