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Finding the Fourth Proportional to 199,783.76, 275,714.34 and 114,899

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Solution

The fourth proportional to 199,783.76, 275,714.34 and 114,899 is: 158,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,783.76 : 275,714.34 = 114,899 : x
  2. Step 2: Convert to fraction form
    199,783.76/275,714.34 = 114,899/x
  3. Step 3: Cross multiply
    199,783.76x = 275,714.34 × 114,899
  4. Step 4: Simplify right side
    199,783.76x = 31,679,301,951.66
  5. Step 5: Solve for x
    x = 31,679,301,951.66/199,783.76
  6. Step 6: Final answer
    x = 158,567.95

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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.