Home / 204,968.34-282,856.77-114,322.05

Finding the Fourth Proportional to 204,968.34, 282,856.77 and 114,322.05

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Solution

The fourth proportional to 204,968.34, 282,856.77 and 114,322.05 is: 157,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,968.34 : 282,856.77 = 114,322.05 : x
  2. Step 2: Convert to fraction form
    204,968.34/282,856.77 = 114,322.05/x
  3. Step 3: Cross multiply
    204,968.34x = 282,856.77 × 114,322.05
  4. Step 4: Simplify right side
    204,968.34x = 32,336,765,802.78
  5. Step 5: Solve for x
    x = 32,336,765,802.78/204,968.34
  6. Step 6: Final answer
    x = 157,764.69

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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.