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Finding the Fourth Proportional to 269,461.96, 371,851.34 and 148,599.80

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Solution

The fourth proportional to 269,461.96, 371,851.34 and 148,599.80 is: 205,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,461.96 : 371,851.34 = 148,599.80 : x
  2. Step 2: Convert to fraction form
    269,461.96/371,851.34 = 148,599.80/x
  3. Step 3: Cross multiply
    269,461.96x = 371,851.34 × 148,599.80
  4. Step 4: Simplify right side
    269,461.96x = 55,257,034,753.73
  5. Step 5: Solve for x
    x = 55,257,034,753.73/269,461.96
  6. Step 6: Final answer
    x = 205,064.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.