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Finding the Fourth Proportional to 233,933.49, 322,935.53 and 153,364.41

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Solution

The fourth proportional to 233,933.49, 322,935.53 and 153,364.41 is: 211,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,933.49 : 322,935.53 = 153,364.41 : x
  2. Step 2: Convert to fraction form
    233,933.49/322,935.53 = 153,364.41/x
  3. Step 3: Cross multiply
    233,933.49x = 322,935.53 × 153,364.41
  4. Step 4: Simplify right side
    233,933.49x = 49,526,816,259.67
  5. Step 5: Solve for x
    x = 49,526,816,259.67/233,933.49
  6. Step 6: Final answer
    x = 211,713.24

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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.