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Finding the Fourth Proportional to 211,574.36, 291,953.88 and 120,912.32

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Solution

The fourth proportional to 211,574.36, 291,953.88 and 120,912.32 is: 166,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,574.36 : 291,953.88 = 120,912.32 : x
  2. Step 2: Convert to fraction form
    211,574.36/291,953.88 = 120,912.32/x
  3. Step 3: Cross multiply
    211,574.36x = 291,953.88 × 120,912.32
  4. Step 4: Simplify right side
    211,574.36x = 35,300,820,963.80
  5. Step 5: Solve for x
    x = 35,300,820,963.80/211,574.36
  6. Step 6: Final answer
    x = 166,848.29

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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.