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Finding the Fourth Proportional to 271,559.52, 374,742 and 152,319.84

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Solution

The fourth proportional to 271,559.52, 374,742 and 152,319.84 is: 210,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,559.52 : 374,742 = 152,319.84 : x
  2. Step 2: Convert to fraction form
    271,559.52/374,742 = 152,319.84/x
  3. Step 3: Cross multiply
    271,559.52x = 374,742 × 152,319.84
  4. Step 4: Simplify right side
    271,559.52x = 57,080,641,481.28
  5. Step 5: Solve for x
    x = 57,080,641,481.28/271,559.52
  6. Step 6: Final answer
    x = 210,195.69

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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.