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Finding the Fourth Proportional to 315,272.26, 435,086.22 and 172,040.16

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Solution

The fourth proportional to 315,272.26, 435,086.22 and 172,040.16 is: 237,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,272.26 : 435,086.22 = 172,040.16 : x
  2. Step 2: Convert to fraction form
    315,272.26/435,086.22 = 172,040.16/x
  3. Step 3: Cross multiply
    315,272.26x = 435,086.22 × 172,040.16
  4. Step 4: Simplify right side
    315,272.26x = 74,852,305,179.32
  5. Step 5: Solve for x
    x = 74,852,305,179.32/315,272.26
  6. Step 6: Final answer
    x = 237,421.16

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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.