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Finding the Fourth Proportional to 233,823.51, 350,648.73 and 84,023.46

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Solution

The fourth proportional to 233,823.51, 350,648.73 and 84,023.46 is: 126,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,823.51 : 350,648.73 = 84,023.46 : x
  2. Step 2: Convert to fraction form
    233,823.51/350,648.73 = 84,023.46/x
  3. Step 3: Cross multiply
    233,823.51x = 350,648.73 × 84,023.46
  4. Step 4: Simplify right side
    233,823.51x = 29,462,719,539.21
  5. Step 5: Solve for x
    x = 29,462,719,539.21/233,823.51
  6. Step 6: Final answer
    x = 126,004.09

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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.