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Finding the Fourth Proportional to 205,116.70, 283,060.44 and 114,471.70

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Solution

The fourth proportional to 205,116.70, 283,060.44 and 114,471.70 is: 157,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,116.70 : 283,060.44 = 114,471.70 : x
  2. Step 2: Convert to fraction form
    205,116.70/283,060.44 = 114,471.70/x
  3. Step 3: Cross multiply
    205,116.70x = 283,060.44 × 114,471.70
  4. Step 4: Simplify right side
    205,116.70x = 32,402,409,769.55
  5. Step 5: Solve for x
    x = 32,402,409,769.55/205,116.70
  6. Step 6: Final answer
    x = 157,970.61

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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.