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Finding the Fourth Proportional to 233,241.41, 321,972.47 and 156,804.84

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Solution

The fourth proportional to 233,241.41, 321,972.47 and 156,804.84 is: 216,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,241.41 : 321,972.47 = 156,804.84 : x
  2. Step 2: Convert to fraction form
    233,241.41/321,972.47 = 156,804.84/x
  3. Step 3: Cross multiply
    233,241.41x = 321,972.47 × 156,804.84
  4. Step 4: Simplify right side
    233,241.41x = 50,486,840,858.73
  5. Step 5: Solve for x
    x = 50,486,840,858.73/233,241.41
  6. Step 6: Final answer
    x = 216,457.45

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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.