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Finding the Fourth Proportional to 205,406.98, 283,433.46 and 114,751.68

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Solution

The fourth proportional to 205,406.98, 283,433.46 and 114,751.68 is: 158,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,406.98 : 283,433.46 = 114,751.68 : x
  2. Step 2: Convert to fraction form
    205,406.98/283,433.46 = 114,751.68/x
  3. Step 3: Cross multiply
    205,406.98x = 283,433.46 × 114,751.68
  4. Step 4: Simplify right side
    205,406.98x = 32,524,465,272.89
  5. Step 5: Solve for x
    x = 32,524,465,272.89/205,406.98
  6. Step 6: Final answer
    x = 158,341.58

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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.