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Finding the Fourth Proportional to 164,076.30, 246,114.45 and 157,077.90

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Solution

The fourth proportional to 164,076.30, 246,114.45 and 157,077.90 is: 235,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,076.30 : 246,114.45 = 157,077.90 : x
  2. Step 2: Convert to fraction form
    164,076.30/246,114.45 = 157,077.90/x
  3. Step 3: Cross multiply
    164,076.30x = 246,114.45 × 157,077.90
  4. Step 4: Simplify right side
    164,076.30x = 38,659,140,965.66
  5. Step 5: Solve for x
    x = 38,659,140,965.66/164,076.30
  6. Step 6: Final answer
    x = 235,616.85

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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.