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Finding the Fourth Proportional to 489,025.93, 733,460.16 and 133,956.97

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Solution

The fourth proportional to 489,025.93, 733,460.16 and 133,956.97 is: 200,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,025.93 : 733,460.16 = 133,956.97 : x
  2. Step 2: Convert to fraction form
    489,025.93/733,460.16 = 133,956.97/x
  3. Step 3: Cross multiply
    489,025.93x = 733,460.16 × 133,956.97
  4. Step 4: Simplify right side
    489,025.93x = 98,252,100,649.32
  5. Step 5: Solve for x
    x = 98,252,100,649.32/489,025.93
  6. Step 6: Final answer
    x = 200,913.89

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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.