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Finding the Fourth Proportional to 194,644.63, 268,609.80 and 114,056.11

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Solution

The fourth proportional to 194,644.63, 268,609.80 and 114,056.11 is: 157,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,644.63 : 268,609.80 = 114,056.11 : x
  2. Step 2: Convert to fraction form
    194,644.63/268,609.80 = 114,056.11/x
  3. Step 3: Cross multiply
    194,644.63x = 268,609.80 × 114,056.11
  4. Step 4: Simplify right side
    194,644.63x = 30,636,588,895.88
  5. Step 5: Solve for x
    x = 30,636,588,895.88/194,644.63
  6. Step 6: Final answer
    x = 157,397.56

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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.