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Finding the Fourth Proportional to 205,302.88, 283,309.64 and 114,657.44

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Solution

The fourth proportional to 205,302.88, 283,309.64 and 114,657.44 is: 158,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,302.88 : 283,309.64 = 114,657.44 : x
  2. Step 2: Convert to fraction form
    205,302.88/283,309.64 = 114,657.44/x
  3. Step 3: Cross multiply
    205,302.88x = 283,309.64 × 114,657.44
  4. Step 4: Simplify right side
    205,302.88x = 32,483,558,049.72
  5. Step 5: Solve for x
    x = 32,483,558,049.72/205,302.88
  6. Step 6: Final answer
    x = 158,222.61

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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.