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Finding the Fourth Proportional to 233,187.96, 349,855.76 and 83,424.94

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Solution

The fourth proportional to 233,187.96, 349,855.76 and 83,424.94 is: 125,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.96 : 349,855.76 = 83,424.94 : x
  2. Step 2: Convert to fraction form
    233,187.96/349,855.76 = 83,424.94/x
  3. Step 3: Cross multiply
    233,187.96x = 349,855.76 × 83,424.94
  4. Step 4: Simplify right side
    233,187.96x = 29,186,694,651.31
  5. Step 5: Solve for x
    x = 29,186,694,651.31/233,187.96
  6. Step 6: Final answer
    x = 125,163.81

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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.