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Finding the Fourth Proportional to 114,268.56, 157,671.84 and 71,797

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Solution

The fourth proportional to 114,268.56, 157,671.84 and 71,797 is: 99,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,268.56 : 157,671.84 = 71,797 : x
  2. Step 2: Convert to fraction form
    114,268.56/157,671.84 = 71,797/x
  3. Step 3: Cross multiply
    114,268.56x = 157,671.84 × 71,797
  4. Step 4: Simplify right side
    114,268.56x = 11,320,365,096.48
  5. Step 5: Solve for x
    x = 11,320,365,096.48/114,268.56
  6. Step 6: Final answer
    x = 99,068.06

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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.