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Finding the Fourth Proportional to 164,632.56, 246,689.37 and 127,284

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Solution

The fourth proportional to 164,632.56, 246,689.37 and 127,284 is: 190,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,632.56 : 246,689.37 = 127,284 : x
  2. Step 2: Convert to fraction form
    164,632.56/246,689.37 = 127,284/x
  3. Step 3: Cross multiply
    164,632.56x = 246,689.37 × 127,284
  4. Step 4: Simplify right side
    164,632.56x = 31,399,609,771.08
  5. Step 5: Solve for x
    x = 31,399,609,771.08/164,632.56
  6. Step 6: Final answer
    x = 190,725.39

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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.