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Finding the Fourth Proportional to 136,578.96, 204,857.48 and 46,613.98

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Solution

The fourth proportional to 136,578.96, 204,857.48 and 46,613.98 is: 69,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,578.96 : 204,857.48 = 46,613.98 : x
  2. Step 2: Convert to fraction form
    136,578.96/204,857.48 = 46,613.98/x
  3. Step 3: Cross multiply
    136,578.96x = 204,857.48 × 46,613.98
  4. Step 4: Simplify right side
    136,578.96x = 9,549,222,475.57
  5. Step 5: Solve for x
    x = 9,549,222,475.57/136,578.96
  6. Step 6: Final answer
    x = 69,917.23

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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.