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Finding the Fourth Proportional to 295,142.64, 407,246.00 and 166,063.20

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Solution

The fourth proportional to 295,142.64, 407,246.00 and 166,063.20 is: 229,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,142.64 : 407,246.00 = 166,063.20 : x
  2. Step 2: Convert to fraction form
    295,142.64/407,246.00 = 166,063.20/x
  3. Step 3: Cross multiply
    295,142.64x = 407,246.00 × 166,063.20
  4. Step 4: Simplify right side
    295,142.64x = 67,628,573,116.88
  5. Step 5: Solve for x
    x = 67,628,573,116.88/295,142.64
  6. Step 6: Final answer
    x = 229,138.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.