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Finding the Fourth Proportional to 233,499.98, 322,254.25 and 142,916.27

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Solution

The fourth proportional to 233,499.98, 322,254.25 and 142,916.27 is: 197,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,499.98 : 322,254.25 = 142,916.27 : x
  2. Step 2: Convert to fraction form
    233,499.98/322,254.25 = 142,916.27/x
  3. Step 3: Cross multiply
    233,499.98x = 322,254.25 × 142,916.27
  4. Step 4: Simplify right side
    233,499.98x = 46,055,373,433.09
  5. Step 5: Solve for x
    x = 46,055,373,433.09/233,499.98
  6. Step 6: Final answer
    x = 197,239.30

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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.