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Finding the Fourth Proportional to 204,659.33, 282,429.17 and 114,009.94

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Solution

The fourth proportional to 204,659.33, 282,429.17 and 114,009.94 is: 157,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,659.33 : 282,429.17 = 114,009.94 : x
  2. Step 2: Convert to fraction form
    204,659.33/282,429.17 = 114,009.94/x
  3. Step 3: Cross multiply
    204,659.33x = 282,429.17 × 114,009.94
  4. Step 4: Simplify right side
    204,659.33x = 32,199,731,877.36
  5. Step 5: Solve for x
    x = 32,199,731,877.36/204,659.33
  6. Step 6: Final answer
    x = 157,333.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.