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Finding the Fourth Proportional to 157,942.98, 217,960.07 and 89,026.16

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Solution

The fourth proportional to 157,942.98, 217,960.07 and 89,026.16 is: 122,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,942.98 : 217,960.07 = 89,026.16 : x
  2. Step 2: Convert to fraction form
    157,942.98/217,960.07 = 89,026.16/x
  3. Step 3: Cross multiply
    157,942.98x = 217,960.07 × 89,026.16
  4. Step 4: Simplify right side
    157,942.98x = 19,404,146,530.50
  5. Step 5: Solve for x
    x = 19,404,146,530.50/157,942.98
  6. Step 6: Final answer
    x = 122,855.39

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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.