Home / 204,852.49-282,697.62-114,214.16

Finding the Fourth Proportional to 204,852.49, 282,697.62 and 114,214.16

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Solution

The fourth proportional to 204,852.49, 282,697.62 and 114,214.16 is: 157,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,852.49 : 282,697.62 = 114,214.16 : x
  2. Step 2: Convert to fraction form
    204,852.49/282,697.62 = 114,214.16/x
  3. Step 3: Cross multiply
    204,852.49x = 282,697.62 × 114,214.16
  4. Step 4: Simplify right side
    204,852.49x = 32,288,071,202.30
  5. Step 5: Solve for x
    x = 32,288,071,202.30/204,852.49
  6. Step 6: Final answer
    x = 157,616.20

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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.