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Finding the Fourth Proportional to 271,584, 374,785.92 and 152,352

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Solution

The fourth proportional to 271,584, 374,785.92 and 152,352 is: 210,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,584 : 374,785.92 = 152,352 : x
  2. Step 2: Convert to fraction form
    271,584/374,785.92 = 152,352/x
  3. Step 3: Cross multiply
    271,584x = 374,785.92 × 152,352
  4. Step 4: Simplify right side
    271,584x = 57,099,384,483.84
  5. Step 5: Solve for x
    x = 57,099,384,483.84/271,584
  6. Step 6: Final answer
    x = 210,245.76

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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.