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Finding the Fourth Proportional to 271,510.84, 407,102.58 and 121,724.04

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Solution

The fourth proportional to 271,510.84, 407,102.58 and 121,724.04 is: 182,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,510.84 : 407,102.58 = 121,724.04 : x
  2. Step 2: Convert to fraction form
    271,510.84/407,102.58 = 121,724.04/x
  3. Step 3: Cross multiply
    271,510.84x = 407,102.58 × 121,724.04
  4. Step 4: Simplify right side
    271,510.84x = 49,554,170,732.02
  5. Step 5: Solve for x
    x = 49,554,170,732.02/271,510.84
  6. Step 6: Final answer
    x = 182,512.68

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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.