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Finding the Fourth Proportional to 268,423.44, 402,678.84 and 99,944.40

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Solution

The fourth proportional to 268,423.44, 402,678.84 and 99,944.40 is: 149,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,423.44 : 402,678.84 = 99,944.40 : x
  2. Step 2: Convert to fraction form
    268,423.44/402,678.84 = 99,944.40/x
  3. Step 3: Cross multiply
    268,423.44x = 402,678.84 × 99,944.40
  4. Step 4: Simplify right side
    268,423.44x = 40,245,495,056.50
  5. Step 5: Solve for x
    x = 40,245,495,056.50/268,423.44
  6. Step 6: Final answer
    x = 149,932.86

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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.