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Finding the Fourth Proportional to 182,762.94, 252,266.49 and 106,300.02

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Solution

The fourth proportional to 182,762.94, 252,266.49 and 106,300.02 is: 146,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,762.94 : 252,266.49 = 106,300.02 : x
  2. Step 2: Convert to fraction form
    182,762.94/252,266.49 = 106,300.02/x
  3. Step 3: Cross multiply
    182,762.94x = 252,266.49 × 106,300.02
  4. Step 4: Simplify right side
    182,762.94x = 26,815,932,932.33
  5. Step 5: Solve for x
    x = 26,815,932,932.33/182,762.94
  6. Step 6: Final answer
    x = 146,725.22

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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.