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Finding the Fourth Proportional to 277,848.20, 416,189.10 and 153,043.40

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Solution

The fourth proportional to 277,848.20, 416,189.10 and 153,043.40 is: 229,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,848.20 : 416,189.10 = 153,043.40 : x
  2. Step 2: Convert to fraction form
    277,848.20/416,189.10 = 153,043.40/x
  3. Step 3: Cross multiply
    277,848.20x = 416,189.10 × 153,043.40
  4. Step 4: Simplify right side
    277,848.20x = 63,694,994,906.94
  5. Step 5: Solve for x
    x = 63,694,994,906.94/277,848.20
  6. Step 6: Final answer
    x = 229,243.86

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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.