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Finding the Fourth Proportional to 205,487.64, 283,567.29 and 114,843.96

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Solution

The fourth proportional to 205,487.64, 283,567.29 and 114,843.96 is: 158,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,487.64 : 283,567.29 = 114,843.96 : x
  2. Step 2: Convert to fraction form
    205,487.64/283,567.29 = 114,843.96/x
  3. Step 3: Cross multiply
    205,487.64x = 283,567.29 × 114,843.96
  4. Step 4: Simplify right side
    205,487.64x = 32,565,990,510.07
  5. Step 5: Solve for x
    x = 32,565,990,510.07/205,487.64
  6. Step 6: Final answer
    x = 158,481.51

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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.