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Finding the Fourth Proportional to 157,114.31, 235,708.37 and 51,933.29

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Solution

The fourth proportional to 157,114.31, 235,708.37 and 51,933.29 is: 77,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,114.31 : 235,708.37 = 51,933.29 : x
  2. Step 2: Convert to fraction form
    157,114.31/235,708.37 = 51,933.29/x
  3. Step 3: Cross multiply
    157,114.31x = 235,708.37 × 51,933.29
  4. Step 4: Simplify right side
    157,114.31x = 12,241,109,696.43
  5. Step 5: Solve for x
    x = 12,241,109,696.43/157,114.31
  6. Step 6: Final answer
    x = 77,912.13

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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.