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Finding the Fourth Proportional to 412,090.90, 618,042.79 and 145,851.29

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Solution

The fourth proportional to 412,090.90, 618,042.79 and 145,851.29 is: 218,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,090.90 : 618,042.79 = 145,851.29 : x
  2. Step 2: Convert to fraction form
    412,090.90/618,042.79 = 145,851.29/x
  3. Step 3: Cross multiply
    412,090.90x = 618,042.79 × 145,851.29
  4. Step 4: Simplify right side
    412,090.90x = 90,142,338,196.70
  5. Step 5: Solve for x
    x = 90,142,338,196.70/412,090.90
  6. Step 6: Final answer
    x = 218,743.82

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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.