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Finding the Fourth Proportional to 147,046.68, 202,912.56 and 83,390.40

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Solution

The fourth proportional to 147,046.68, 202,912.56 and 83,390.40 is: 115,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,046.68 : 202,912.56 = 83,390.40 : x
  2. Step 2: Convert to fraction form
    147,046.68/202,912.56 = 83,390.40/x
  3. Step 3: Cross multiply
    147,046.68x = 202,912.56 × 83,390.40
  4. Step 4: Simplify right side
    147,046.68x = 16,920,959,543.42
  5. Step 5: Solve for x
    x = 16,920,959,543.42/147,046.68
  6. Step 6: Final answer
    x = 115,072.03

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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.