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Finding the Fourth Proportional to 315,757.08, 435,739.64 and 172,514.04

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Solution

The fourth proportional to 315,757.08, 435,739.64 and 172,514.04 is: 238,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,757.08 : 435,739.64 = 172,514.04 : x
  2. Step 2: Convert to fraction form
    315,757.08/435,739.64 = 172,514.04/x
  3. Step 3: Cross multiply
    315,757.08x = 435,739.64 × 172,514.04
  4. Step 4: Simplify right side
    315,757.08x = 75,171,205,684.55
  5. Step 5: Solve for x
    x = 75,171,205,684.55/315,757.08
  6. Step 6: Final answer
    x = 238,066.57

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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.