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Finding the Fourth Proportional to 205,462.98, 283,538.08 and 114,818.92

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Solution

The fourth proportional to 205,462.98, 283,538.08 and 114,818.92 is: 158,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,462.98 : 283,538.08 = 114,818.92 : x
  2. Step 2: Convert to fraction form
    205,462.98/283,538.08 = 114,818.92/x
  3. Step 3: Cross multiply
    205,462.98x = 283,538.08 × 114,818.92
  4. Step 4: Simplify right side
    205,462.98x = 32,555,536,124.47
  5. Step 5: Solve for x
    x = 32,555,536,124.47/205,462.98
  6. Step 6: Final answer
    x = 158,449.64

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1.5x scale

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.