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Finding the Fourth Proportional to 190,613.52, 263,042.64 and 105,729.84

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Solution

The fourth proportional to 190,613.52, 263,042.64 and 105,729.84 is: 145,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,613.52 : 263,042.64 = 105,729.84 : x
  2. Step 2: Convert to fraction form
    190,613.52/263,042.64 = 105,729.84/x
  3. Step 3: Cross multiply
    190,613.52x = 263,042.64 × 105,729.84
  4. Step 4: Simplify right side
    190,613.52x = 27,811,456,240.38
  5. Step 5: Solve for x
    x = 27,811,456,240.38/190,613.52
  6. Step 6: Final answer
    x = 145,904.95

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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.