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Finding the Fourth Proportional to 233,833.86, 350,610.54 and 113,654.10

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Solution

The fourth proportional to 233,833.86, 350,610.54 and 113,654.10 is: 170,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,833.86 : 350,610.54 = 113,654.10 : x
  2. Step 2: Convert to fraction form
    233,833.86/350,610.54 = 113,654.10/x
  3. Step 3: Cross multiply
    233,833.86x = 350,610.54 × 113,654.10
  4. Step 4: Simplify right side
    233,833.86x = 39,848,325,374.21
  5. Step 5: Solve for x
    x = 39,848,325,374.21/233,833.86
  6. Step 6: Final answer
    x = 170,412.98

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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.