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Finding the Fourth Proportional to 211,039.02, 291,228.01 and 120,393.14

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Solution

The fourth proportional to 211,039.02, 291,228.01 and 120,393.14 is: 166,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,039.02 : 291,228.01 = 120,393.14 : x
  2. Step 2: Convert to fraction form
    211,039.02/291,228.01 = 120,393.14/x
  3. Step 3: Cross multiply
    211,039.02x = 291,228.01 × 120,393.14
  4. Step 4: Simplify right side
    211,039.02x = 35,061,852,822.73
  5. Step 5: Solve for x
    x = 35,061,852,822.73/211,039.02
  6. Step 6: Final answer
    x = 166,139.19

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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.