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Finding the Fourth Proportional to 98,083.31, 146,916.16 and 74,126.96

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Solution

The fourth proportional to 98,083.31, 146,916.16 and 74,126.96 is: 111,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,083.31 : 146,916.16 = 74,126.96 : x
  2. Step 2: Convert to fraction form
    98,083.31/146,916.16 = 74,126.96/x
  3. Step 3: Cross multiply
    98,083.31x = 146,916.16 × 74,126.96
  4. Step 4: Simplify right side
    98,083.31x = 10,890,447,395.78
  5. Step 5: Solve for x
    x = 10,890,447,395.78/98,083.31
  6. Step 6: Final answer
    x = 111,032.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.