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Finding the Fourth Proportional to 147,193.61, 203,126.61 and 82,653.88

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Solution

The fourth proportional to 147,193.61, 203,126.61 and 82,653.88 is: 114,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,193.61 : 203,126.61 = 82,653.88 : x
  2. Step 2: Convert to fraction form
    147,193.61/203,126.61 = 82,653.88/x
  3. Step 3: Cross multiply
    147,193.61x = 203,126.61 × 82,653.88
  4. Step 4: Simplify right side
    147,193.61x = 16,789,201,939.93
  5. Step 5: Solve for x
    x = 16,789,201,939.93/147,193.61
  6. Step 6: Final answer
    x = 114,062.03

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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.