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Finding the Fourth Proportional to 416,739.96, 625,197.54 and 136,235.16

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Solution

The fourth proportional to 416,739.96, 625,197.54 and 136,235.16 is: 204,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,739.96 : 625,197.54 = 136,235.16 : x
  2. Step 2: Convert to fraction form
    416,739.96/625,197.54 = 136,235.16/x
  3. Step 3: Cross multiply
    416,739.96x = 625,197.54 × 136,235.16
  4. Step 4: Simplify right side
    416,739.96x = 85,173,886,893.51
  5. Step 5: Solve for x
    x = 85,173,886,893.51/416,739.96
  6. Step 6: Final answer
    x = 204,381.38

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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.