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Finding the Fourth Proportional to 148,513.88, 204,949.50 and 84,851.48

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Solution

The fourth proportional to 148,513.88, 204,949.50 and 84,851.48 is: 117,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,513.88 : 204,949.50 = 84,851.48 : x
  2. Step 2: Convert to fraction form
    148,513.88/204,949.50 = 84,851.48/x
  3. Step 3: Cross multiply
    148,513.88x = 204,949.50 × 84,851.48
  4. Step 4: Simplify right side
    148,513.88x = 17,390,268,400.26
  5. Step 5: Solve for x
    x = 17,390,268,400.26/148,513.88
  6. Step 6: Final answer
    x = 117,095.24

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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.