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Finding the Fourth Proportional to 205,405.36, 307,648.58 and 118,745.08

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Solution

The fourth proportional to 205,405.36, 307,648.58 and 118,745.08 is: 177,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,405.36 : 307,648.58 = 118,745.08 : x
  2. Step 2: Convert to fraction form
    205,405.36/307,648.58 = 118,745.08/x
  3. Step 3: Cross multiply
    205,405.36x = 307,648.58 × 118,745.08
  4. Step 4: Simplify right side
    205,405.36x = 36,531,753,881.14
  5. Step 5: Solve for x
    x = 36,531,753,881.14/205,405.36
  6. Step 6: Final answer
    x = 177,852.00

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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.