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Finding the Fourth Proportional to 271,411.46, 407,119.82 and 102,886.50

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Solution

The fourth proportional to 271,411.46, 407,119.82 and 102,886.50 is: 154,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411.46 : 407,119.82 = 102,886.50 : x
  2. Step 2: Convert to fraction form
    271,411.46/407,119.82 = 102,886.50/x
  3. Step 3: Cross multiply
    271,411.46x = 407,119.82 × 102,886.50
  4. Step 4: Simplify right side
    271,411.46x = 41,887,133,360.43
  5. Step 5: Solve for x
    x = 41,887,133,360.43/271,411.46
  6. Step 6: Final answer
    x = 154,330.75

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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.