Home / 204,489-282,172.14-113,824.08

Finding the Fourth Proportional to 204,489, 282,172.14 and 113,824.08

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Solution

The fourth proportional to 204,489, 282,172.14 and 113,824.08 is: 157,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,489 : 282,172.14 = 113,824.08 : x
  2. Step 2: Convert to fraction form
    204,489/282,172.14 = 113,824.08/x
  3. Step 3: Cross multiply
    204,489x = 282,172.14 × 113,824.08
  4. Step 4: Simplify right side
    204,489x = 32,117,984,237.13
  5. Step 5: Solve for x
    x = 32,117,984,237.13/204,489
  6. Step 6: Final answer
    x = 157,064.61

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1.5x scale

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.