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Finding the Fourth Proportional to 205,872.40, 308,837.40 and 87,542.80

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Solution

The fourth proportional to 205,872.40, 308,837.40 and 87,542.80 is: 131,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,872.40 : 308,837.40 = 87,542.80 : x
  2. Step 2: Convert to fraction form
    205,872.40/308,837.40 = 87,542.80/x
  3. Step 3: Cross multiply
    205,872.40x = 308,837.40 × 87,542.80
  4. Step 4: Simplify right side
    205,872.40x = 27,036,490,740.72
  5. Step 5: Solve for x
    x = 27,036,490,740.72/205,872.40
  6. Step 6: Final answer
    x = 131,326.45

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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.