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Finding the Fourth Proportional to 192,461.28, 288,703.71 and 74,132.97

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Solution

The fourth proportional to 192,461.28, 288,703.71 and 74,132.97 is: 111,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,461.28 : 288,703.71 = 74,132.97 : x
  2. Step 2: Convert to fraction form
    192,461.28/288,703.71 = 74,132.97/x
  3. Step 3: Cross multiply
    192,461.28x = 288,703.71 × 74,132.97
  4. Step 4: Simplify right side
    192,461.28x = 21,402,463,472.32
  5. Step 5: Solve for x
    x = 21,402,463,472.32/192,461.28
  6. Step 6: Final answer
    x = 111,204.00

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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.