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Finding the Fourth Proportional to 211,054.20, 291,282.54 and 120,389.40

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Solution

The fourth proportional to 211,054.20, 291,282.54 and 120,389.40 is: 166,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,054.20 : 291,282.54 = 120,389.40 : x
  2. Step 2: Convert to fraction form
    211,054.20/291,282.54 = 120,389.40/x
  3. Step 3: Cross multiply
    211,054.20x = 291,282.54 × 120,389.40
  4. Step 4: Simplify right side
    211,054.20x = 35,067,330,221.08
  5. Step 5: Solve for x
    x = 35,067,330,221.08/211,054.20
  6. Step 6: Final answer
    x = 166,153.20

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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.