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Finding the Fourth Proportional to 192,406.54, 265,516.44 and 107,540

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Solution

The fourth proportional to 192,406.54, 265,516.44 and 107,540 is: 148,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,406.54 : 265,516.44 = 107,540 : x
  2. Step 2: Convert to fraction form
    192,406.54/265,516.44 = 107,540/x
  3. Step 3: Cross multiply
    192,406.54x = 265,516.44 × 107,540
  4. Step 4: Simplify right side
    192,406.54x = 28,553,637,957.60
  5. Step 5: Solve for x
    x = 28,553,637,957.60/192,406.54
  6. Step 6: Final answer
    x = 148,402.64

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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.