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Finding the Fourth Proportional to 146,810.82, 202,602.69 and 83,147.70

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Solution

The fourth proportional to 146,810.82, 202,602.69 and 83,147.70 is: 114,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,810.82 : 202,602.69 = 83,147.70 : x
  2. Step 2: Convert to fraction form
    146,810.82/202,602.69 = 83,147.70/x
  3. Step 3: Cross multiply
    146,810.82x = 202,602.69 × 83,147.70
  4. Step 4: Simplify right side
    146,810.82x = 16,845,947,687.31
  5. Step 5: Solve for x
    x = 16,845,947,687.31/146,810.82
  6. Step 6: Final answer
    x = 114,745.95

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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.