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Finding the Fourth Proportional to 233,835.52, 322,477.82 and 153,233.77

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Solution

The fourth proportional to 233,835.52, 322,477.82 and 153,233.77 is: 211,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,835.52 : 322,477.82 = 153,233.77 : x
  2. Step 2: Convert to fraction form
    233,835.52/322,477.82 = 153,233.77/x
  3. Step 3: Cross multiply
    233,835.52x = 322,477.82 × 153,233.77
  4. Step 4: Simplify right side
    233,835.52x = 49,414,491,275.92
  5. Step 5: Solve for x
    x = 49,414,491,275.92/233,835.52
  6. Step 6: Final answer
    x = 211,321.58

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