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Finding the Fourth Proportional to 207,364.86, 311,053.23 and 57,616.11

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Solution

The fourth proportional to 207,364.86, 311,053.23 and 57,616.11 is: 86,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364.86 : 311,053.23 = 57,616.11 : x
  2. Step 2: Convert to fraction form
    207,364.86/311,053.23 = 57,616.11/x
  3. Step 3: Cross multiply
    207,364.86x = 311,053.23 × 57,616.11
  4. Step 4: Simplify right side
    207,364.86x = 17,921,677,115.54
  5. Step 5: Solve for x
    x = 17,921,677,115.54/207,364.86
  6. Step 6: Final answer
    x = 86,425.82

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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.