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Finding the Fourth Proportional to 205,411.30, 308,347.35 and 122,352.10

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Solution

The fourth proportional to 205,411.30, 308,347.35 and 122,352.10 is: 183,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,411.30 : 308,347.35 = 122,352.10 : x
  2. Step 2: Convert to fraction form
    205,411.30/308,347.35 = 122,352.10/x
  3. Step 3: Cross multiply
    205,411.30x = 308,347.35 × 122,352.10
  4. Step 4: Simplify right side
    205,411.30x = 37,726,945,801.94
  5. Step 5: Solve for x
    x = 37,726,945,801.94/205,411.30
  6. Step 6: Final answer
    x = 183,665.39

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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.