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Finding the Fourth Proportional to 147,049.31, 202,916.18 and 83,393.03

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Solution

The fourth proportional to 147,049.31, 202,916.18 and 83,393.03 is: 115,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,049.31 : 202,916.18 = 83,393.03 : x
  2. Step 2: Convert to fraction form
    147,049.31/202,916.18 = 83,393.03/x
  3. Step 3: Cross multiply
    147,049.31x = 202,916.18 × 83,393.03
  4. Step 4: Simplify right side
    147,049.31x = 16,921,793,654.68
  5. Step 5: Solve for x
    x = 16,921,793,654.68/147,049.31
  6. Step 6: Final answer
    x = 115,075.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.