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Finding the Fourth Proportional to 211,116.81, 291,268.85 and 120,407.57

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Solution

The fourth proportional to 211,116.81, 291,268.85 and 120,407.57 is: 166,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,116.81 : 291,268.85 = 120,407.57 : x
  2. Step 2: Convert to fraction form
    211,116.81/291,268.85 = 120,407.57/x
  3. Step 3: Cross multiply
    211,116.81x = 291,268.85 × 120,407.57
  4. Step 4: Simplify right side
    211,116.81x = 35,070,972,386.81
  5. Step 5: Solve for x
    x = 35,070,972,386.81/211,116.81
  6. Step 6: Final answer
    x = 166,121.17

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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.