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Finding the Fourth Proportional to 205,354.92, 283,068.30 and 188,858.10

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Solution

The fourth proportional to 205,354.92, 283,068.30 and 188,858.10 is: 260,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,354.92 : 283,068.30 = 188,858.10 : x
  2. Step 2: Convert to fraction form
    205,354.92/283,068.30 = 188,858.10/x
  3. Step 3: Cross multiply
    205,354.92x = 283,068.30 × 188,858.10
  4. Step 4: Simplify right side
    205,354.92x = 53,459,741,308.23
  5. Step 5: Solve for x
    x = 53,459,741,308.23/205,354.92
  6. Step 6: Final answer
    x = 260,328.51

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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.