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Finding the Fourth Proportional to 204,716.28, 282,510.48 and 119,835.12

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Solution

The fourth proportional to 204,716.28, 282,510.48 and 119,835.12 is: 165,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,716.28 : 282,510.48 = 119,835.12 : x
  2. Step 2: Convert to fraction form
    204,716.28/282,510.48 = 119,835.12/x
  3. Step 3: Cross multiply
    204,716.28x = 282,510.48 × 119,835.12
  4. Step 4: Simplify right side
    204,716.28x = 33,854,677,272.06
  5. Step 5: Solve for x
    x = 33,854,677,272.06/204,716.28
  6. Step 6: Final answer
    x = 165,373.64

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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.