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Finding the Fourth Proportional to 489,026.55, 733,461.12 and 133,957.56

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Solution

The fourth proportional to 489,026.55, 733,461.12 and 133,957.56 is: 200,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,026.55 : 733,461.12 = 133,957.56 : x
  2. Step 2: Convert to fraction form
    489,026.55/733,461.12 = 133,957.56/x
  3. Step 3: Cross multiply
    489,026.55x = 733,461.12 × 133,957.56
  4. Step 4: Simplify right side
    489,026.55x = 98,252,661,990.07
  5. Step 5: Solve for x
    x = 98,252,661,990.07/489,026.55
  6. Step 6: Final answer
    x = 200,914.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.