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Finding the Fourth Proportional to 233,437.86, 322,145.73 and 132,835.86

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Solution

The fourth proportional to 233,437.86, 322,145.73 and 132,835.86 is: 183,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,437.86 : 322,145.73 = 132,835.86 : x
  2. Step 2: Convert to fraction form
    233,437.86/322,145.73 = 132,835.86/x
  3. Step 3: Cross multiply
    233,437.86x = 322,145.73 × 132,835.86
  4. Step 4: Simplify right side
    233,437.86x = 42,792,505,089.88
  5. Step 5: Solve for x
    x = 42,792,505,089.88/233,437.86
  6. Step 6: Final answer
    x = 183,314.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.