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Finding the Fourth Proportional to 205,372.71, 283,411.22 and 114,729.98

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Solution

The fourth proportional to 205,372.71, 283,411.22 and 114,729.98 is: 158,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,372.71 : 283,411.22 = 114,729.98 : x
  2. Step 2: Convert to fraction form
    205,372.71/283,411.22 = 114,729.98/x
  3. Step 3: Cross multiply
    205,372.71x = 283,411.22 × 114,729.98
  4. Step 4: Simplify right side
    205,372.71x = 32,515,761,611.67
  5. Step 5: Solve for x
    x = 32,515,761,611.67/205,372.71
  6. Step 6: Final answer
    x = 158,325.62

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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.