Home / 204,780.23-282,562.45-114,116.32

Finding the Fourth Proportional to 204,780.23, 282,562.45 and 114,116.32

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Solution

The fourth proportional to 204,780.23, 282,562.45 and 114,116.32 is: 157,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,780.23 : 282,562.45 = 114,116.32 : x
  2. Step 2: Convert to fraction form
    204,780.23/282,562.45 = 114,116.32/x
  3. Step 3: Cross multiply
    204,780.23x = 282,562.45 × 114,116.32
  4. Step 4: Simplify right side
    204,780.23x = 32,244,985,972.49
  5. Step 5: Solve for x
    x = 32,244,985,972.49/204,780.23
  6. Step 6: Final answer
    x = 157,461.42

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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.