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Finding the Fourth Proportional to 211,361.40, 291,681.10 and 120,729.39

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Solution

The fourth proportional to 211,361.40, 291,681.10 and 120,729.39 is: 166,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,361.40 : 291,681.10 = 120,729.39 : x
  2. Step 2: Convert to fraction form
    211,361.40/291,681.10 = 120,729.39/x
  3. Step 3: Cross multiply
    211,361.40x = 291,681.10 × 120,729.39
  4. Step 4: Simplify right side
    211,361.40x = 35,214,480,334.64
  5. Step 5: Solve for x
    x = 35,214,480,334.64/211,361.40
  6. Step 6: Final answer
    x = 166,607.91

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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.