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Finding the Fourth Proportional to 233,146.36, 349,682.27 and 83,358.73

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Solution

The fourth proportional to 233,146.36, 349,682.27 and 83,358.73 is: 125,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,146.36 : 349,682.27 = 83,358.73 : x
  2. Step 2: Convert to fraction form
    233,146.36/349,682.27 = 83,358.73/x
  3. Step 3: Cross multiply
    233,146.36x = 349,682.27 × 83,358.73
  4. Step 4: Simplify right side
    233,146.36x = 29,149,068,182.31
  5. Step 5: Solve for x
    x = 29,149,068,182.31/233,146.36
  6. Step 6: Final answer
    x = 125,024.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.