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Finding the Fourth Proportional to 233,838.29, 322,623.27 and 143,099.66

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Solution

The fourth proportional to 233,838.29, 322,623.27 and 143,099.66 is: 197,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838.29 : 322,623.27 = 143,099.66 : x
  2. Step 2: Convert to fraction form
    233,838.29/322,623.27 = 143,099.66/x
  3. Step 3: Cross multiply
    233,838.29x = 322,623.27 × 143,099.66
  4. Step 4: Simplify right side
    233,838.29x = 46,167,280,245.09
  5. Step 5: Solve for x
    x = 46,167,280,245.09/233,838.29
  6. Step 6: Final answer
    x = 197,432.51

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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.