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Finding the Fourth Proportional to 205,542.35, 308,301.22 and 55,779.32

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Solution

The fourth proportional to 205,542.35, 308,301.22 and 55,779.32 is: 83,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,542.35 : 308,301.22 = 55,779.32 : x
  2. Step 2: Convert to fraction form
    205,542.35/308,301.22 = 55,779.32/x
  3. Step 3: Cross multiply
    205,542.35x = 308,301.22 × 55,779.32
  4. Step 4: Simplify right side
    205,542.35x = 17,196,832,696.04
  5. Step 5: Solve for x
    x = 17,196,832,696.04/205,542.35
  6. Step 6: Final answer
    x = 83,665.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.