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Finding the Fourth Proportional to 174,342, 261,607.50 and 134,976

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Solution

The fourth proportional to 174,342, 261,607.50 and 134,976 is: 202,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,342 : 261,607.50 = 134,976 : x
  2. Step 2: Convert to fraction form
    174,342/261,607.50 = 134,976/x
  3. Step 3: Cross multiply
    174,342x = 261,607.50 × 134,976
  4. Step 4: Simplify right side
    174,342x = 35,310,733,920
  5. Step 5: Solve for x
    x = 35,310,733,920/174,342
  6. Step 6: Final answer
    x = 202,537.16

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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.