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Finding the Fourth Proportional to 193,978.97, 267,813.95 and 132,827.48

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Solution

The fourth proportional to 193,978.97, 267,813.95 and 132,827.48 is: 183,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,978.97 : 267,813.95 = 132,827.48 : x
  2. Step 2: Convert to fraction form
    193,978.97/267,813.95 = 132,827.48/x
  3. Step 3: Cross multiply
    193,978.97x = 267,813.95 × 132,827.48
  4. Step 4: Simplify right side
    193,978.97x = 35,573,051,088.44
  5. Step 5: Solve for x
    x = 35,573,051,088.44/193,978.97
  6. Step 6: Final answer
    x = 183,386.12

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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.