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Finding the Fourth Proportional to 271,564.80, 374,674.56 and 156,828.80

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Solution

The fourth proportional to 271,564.80, 374,674.56 and 156,828.80 is: 216,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,564.80 : 374,674.56 = 156,828.80 : x
  2. Step 2: Convert to fraction form
    271,564.80/374,674.56 = 156,828.80/x
  3. Step 3: Cross multiply
    271,564.80x = 374,674.56 × 156,828.80
  4. Step 4: Simplify right side
    271,564.80x = 58,759,761,635.33
  5. Step 5: Solve for x
    x = 58,759,761,635.33/271,564.80
  6. Step 6: Final answer
    x = 216,374.74

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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.