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Finding the Fourth Proportional to 233,007.84, 321,420.96 and 161,429.76

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Solution

The fourth proportional to 233,007.84, 321,420.96 and 161,429.76 is: 222,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,007.84 : 321,420.96 = 161,429.76 : x
  2. Step 2: Convert to fraction form
    233,007.84/321,420.96 = 161,429.76/x
  3. Step 3: Cross multiply
    233,007.84x = 321,420.96 × 161,429.76
  4. Step 4: Simplify right side
    233,007.84x = 51,886,908,431.77
  5. Step 5: Solve for x
    x = 51,886,908,431.77/233,007.84
  6. Step 6: Final answer
    x = 222,683.10

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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.