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Finding the Fourth Proportional to 254,793.32, 382,235.94 and 104,951.82

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Solution

The fourth proportional to 254,793.32, 382,235.94 and 104,951.82 is: 157,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,793.32 : 382,235.94 = 104,951.82 : x
  2. Step 2: Convert to fraction form
    254,793.32/382,235.94 = 104,951.82/x
  3. Step 3: Cross multiply
    254,793.32x = 382,235.94 × 104,951.82
  4. Step 4: Simplify right side
    254,793.32x = 40,116,357,572.41
  5. Step 5: Solve for x
    x = 40,116,357,572.41/254,793.32
  6. Step 6: Final answer
    x = 157,446.66

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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.