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Finding the Fourth Proportional to 233,356.70, 322,072.45 and 135,226.18

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Solution

The fourth proportional to 233,356.70, 322,072.45 and 135,226.18 is: 186,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,356.70 : 322,072.45 = 135,226.18 : x
  2. Step 2: Convert to fraction form
    233,356.70/322,072.45 = 135,226.18/x
  3. Step 3: Cross multiply
    233,356.70x = 322,072.45 × 135,226.18
  4. Step 4: Simplify right side
    233,356.70x = 43,552,628,827.74
  5. Step 5: Solve for x
    x = 43,552,628,827.74/233,356.70
  6. Step 6: Final answer
    x = 186,635.44

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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.