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Finding the Fourth Proportional to 271,838.49, 407,674.50 and 129,608.76

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Solution

The fourth proportional to 271,838.49, 407,674.50 and 129,608.76 is: 194,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,838.49 : 407,674.50 = 129,608.76 : x
  2. Step 2: Convert to fraction form
    271,838.49/407,674.50 = 129,608.76/x
  3. Step 3: Cross multiply
    271,838.49x = 407,674.50 × 129,608.76
  4. Step 4: Simplify right side
    271,838.49x = 52,838,186,428.62
  5. Step 5: Solve for x
    x = 52,838,186,428.62/271,838.49
  6. Step 6: Final answer
    x = 194,373.45

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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.