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Finding the Fourth Proportional to 204,434.40, 282,117.42 and 113,788.92

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Solution

The fourth proportional to 204,434.40, 282,117.42 and 113,788.92 is: 157,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,434.40 : 282,117.42 = 113,788.92 : x
  2. Step 2: Convert to fraction form
    204,434.40/282,117.42 = 113,788.92/x
  3. Step 3: Cross multiply
    204,434.40x = 282,117.42 × 113,788.92
  4. Step 4: Simplify right side
    204,434.40x = 32,101,836,534.99
  5. Step 5: Solve for x
    x = 32,101,836,534.99/204,434.40
  6. Step 6: Final answer
    x = 157,027.57

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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.