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Finding the Fourth Proportional to 136,630.69, 204,952.21 and 41,853.98

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Solution

The fourth proportional to 136,630.69, 204,952.21 and 41,853.98 is: 62,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,630.69 : 204,952.21 = 41,853.98 : x
  2. Step 2: Convert to fraction form
    136,630.69/204,952.21 = 41,853.98/x
  3. Step 3: Cross multiply
    136,630.69x = 204,952.21 × 41,853.98
  4. Step 4: Simplify right side
    136,630.69x = 8,578,066,106.04
  5. Step 5: Solve for x
    x = 8,578,066,106.04/136,630.69
  6. Step 6: Final answer
    x = 62,782.87

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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.