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Finding the Fourth Proportional to 271,502.80, 407,513.40 and 138,533.20

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Solution

The fourth proportional to 271,502.80, 407,513.40 and 138,533.20 is: 207,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,502.80 : 407,513.40 = 138,533.20 : x
  2. Step 2: Convert to fraction form
    271,502.80/407,513.40 = 138,533.20/x
  3. Step 3: Cross multiply
    271,502.80x = 407,513.40 × 138,533.20
  4. Step 4: Simplify right side
    271,502.80x = 56,454,135,344.88
  5. Step 5: Solve for x
    x = 56,454,135,344.88/271,502.80
  6. Step 6: Final answer
    x = 207,932.06

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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.