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Finding the Fourth Proportional to 194,573.84, 268,511.82 and 105,149.84

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Solution

The fourth proportional to 194,573.84, 268,511.82 and 105,149.84 is: 145,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,573.84 : 268,511.82 = 105,149.84 : x
  2. Step 2: Convert to fraction form
    194,573.84/268,511.82 = 105,149.84/x
  3. Step 3: Cross multiply
    194,573.84x = 268,511.82 × 105,149.84
  4. Step 4: Simplify right side
    194,573.84x = 28,233,974,911.11
  5. Step 5: Solve for x
    x = 28,233,974,911.11/194,573.84
  6. Step 6: Final answer
    x = 145,106.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.