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Finding the Fourth Proportional to 211,157.70, 291,397.14 and 114,361.26

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Solution

The fourth proportional to 211,157.70, 291,397.14 and 114,361.26 is: 157,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,157.70 : 291,397.14 = 114,361.26 : x
  2. Step 2: Convert to fraction form
    211,157.70/291,397.14 = 114,361.26/x
  3. Step 3: Cross multiply
    211,157.70x = 291,397.14 × 114,361.26
  4. Step 4: Simplify right side
    211,157.70x = 33,324,544,090.80
  5. Step 5: Solve for x
    x = 33,324,544,090.80/211,157.70
  6. Step 6: Final answer
    x = 157,818.28

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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.