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Finding the Fourth Proportional to 205,376.38, 283,409.28 and 114,714.29

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Solution

The fourth proportional to 205,376.38, 283,409.28 and 114,714.29 is: 158,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.38 : 283,409.28 = 114,714.29 : x
  2. Step 2: Convert to fraction form
    205,376.38/283,409.28 = 114,714.29/x
  3. Step 3: Cross multiply
    205,376.38x = 283,409.28 × 114,714.29
  4. Step 4: Simplify right side
    205,376.38x = 32,511,095,043.13
  5. Step 5: Solve for x
    x = 32,511,095,043.13/205,376.38
  6. Step 6: Final answer
    x = 158,300.07

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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.