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Finding the Fourth Proportional to 268,793.84, 402,909.44 and 100,246.34

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Solution

The fourth proportional to 268,793.84, 402,909.44 and 100,246.34 is: 150,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,793.84 : 402,909.44 = 100,246.34 : x
  2. Step 2: Convert to fraction form
    268,793.84/402,909.44 = 100,246.34/x
  3. Step 3: Cross multiply
    268,793.84x = 402,909.44 × 100,246.34
  4. Step 4: Simplify right side
    268,793.84x = 40,390,196,711.45
  5. Step 5: Solve for x
    x = 40,390,196,711.45/268,793.84
  6. Step 6: Final answer
    x = 150,264.59

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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.