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Finding the Fourth Proportional to 233,493.77, 350,289.87 and 75,709.92

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Solution

The fourth proportional to 233,493.77, 350,289.87 and 75,709.92 is: 113,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,493.77 : 350,289.87 = 75,709.92 : x
  2. Step 2: Convert to fraction form
    233,493.77/350,289.87 = 75,709.92/x
  3. Step 3: Cross multiply
    233,493.77x = 350,289.87 × 75,709.92
  4. Step 4: Simplify right side
    233,493.77x = 26,520,418,034.51
  5. Step 5: Solve for x
    x = 26,520,418,034.51/233,493.77
  6. Step 6: Final answer
    x = 113,580.84

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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.