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Finding the Fourth Proportional to 271,364.76, 407,132.98 and 121,733.40

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Solution

The fourth proportional to 271,364.76, 407,132.98 and 121,733.40 is: 182,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,364.76 : 407,132.98 = 121,733.40 : x
  2. Step 2: Convert to fraction form
    271,364.76/407,132.98 = 121,733.40/x
  3. Step 3: Cross multiply
    271,364.76x = 407,132.98 × 121,733.40
  4. Step 4: Simplify right side
    271,364.76x = 49,561,681,907.53
  5. Step 5: Solve for x
    x = 49,561,681,907.53/271,364.76
  6. Step 6: Final answer
    x = 182,638.61

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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.