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Finding the Fourth Proportional to 207,674.17, 311,506.77 and 57,910.47

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Solution

The fourth proportional to 207,674.17, 311,506.77 and 57,910.47 is: 86,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,674.17 : 311,506.77 = 57,910.47 : x
  2. Step 2: Convert to fraction form
    207,674.17/311,506.77 = 57,910.47/x
  3. Step 3: Cross multiply
    207,674.17x = 311,506.77 × 57,910.47
  4. Step 4: Simplify right side
    207,674.17x = 18,039,502,046.12
  5. Step 5: Solve for x
    x = 18,039,502,046.12/207,674.17
  6. Step 6: Final answer
    x = 86,864.45

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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.