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Finding the Fourth Proportional to 205,698.29, 283,887.18 and 115,077.21

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Solution

The fourth proportional to 205,698.29, 283,887.18 and 115,077.21 is: 158,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,698.29 : 283,887.18 = 115,077.21 : x
  2. Step 2: Convert to fraction form
    205,698.29/283,887.18 = 115,077.21/x
  3. Step 3: Cross multiply
    205,698.29x = 283,887.18 × 115,077.21
  4. Step 4: Simplify right side
    205,698.29x = 32,668,943,564.59
  5. Step 5: Solve for x
    x = 32,668,943,564.59/205,698.29
  6. Step 6: Final answer
    x = 158,819.72

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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.