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Finding the Fourth Proportional to 154,893.20, 232,512.60 and 144,741.20

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Solution

The fourth proportional to 154,893.20, 232,512.60 and 144,741.20 is: 217,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,893.20 : 232,512.60 = 144,741.20 : x
  2. Step 2: Convert to fraction form
    154,893.20/232,512.60 = 144,741.20/x
  3. Step 3: Cross multiply
    154,893.20x = 232,512.60 × 144,741.20
  4. Step 4: Simplify right side
    154,893.20x = 33,654,152,739.12
  5. Step 5: Solve for x
    x = 33,654,152,739.12/154,893.20
  6. Step 6: Final answer
    x = 217,273.27

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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.