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Finding the Fourth Proportional to 205,714.86, 283,912.80 and 115,075.86

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Solution

The fourth proportional to 205,714.86, 283,912.80 and 115,075.86 is: 158,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.86 : 283,912.80 = 115,075.86 : x
  2. Step 2: Convert to fraction form
    205,714.86/283,912.80 = 115,075.86/x
  3. Step 3: Cross multiply
    205,714.86x = 283,912.80 × 115,075.86
  4. Step 4: Simplify right side
    205,714.86x = 32,671,509,625.01
  5. Step 5: Solve for x
    x = 32,671,509,625.01/205,714.86
  6. Step 6: Final answer
    x = 158,819.40

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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.