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Finding the Fourth Proportional to 233,343.72, 321,930.11 and 152,817.17

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Solution

The fourth proportional to 233,343.72, 321,930.11 and 152,817.17 is: 210,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,343.72 : 321,930.11 = 152,817.17 : x
  2. Step 2: Convert to fraction form
    233,343.72/321,930.11 = 152,817.17/x
  3. Step 3: Cross multiply
    233,343.72x = 321,930.11 × 152,817.17
  4. Step 4: Simplify right side
    233,343.72x = 49,196,445,974.25
  5. Step 5: Solve for x
    x = 49,196,445,974.25/233,343.72
  6. Step 6: Final answer
    x = 210,832.53

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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.